Found 124 Documents (Results 1–100)
Global bound on the gradient of solutions to \(p\)-Laplace type equations with mixed data. (English) Zbl 07844466
Regularity of solutions to nonlinear elliptic equations in generalized Morrey spaces. (English) Zbl 07833594
Local Calderón-Zygmund estimates for parabolic equations with dual data. (English) Zbl 1522.35317
Reviewer: Lubomira Softova (Salerno)
Cohomology of annuli, duality and \(L^\infty\)-differential forms on Heisenberg groups. (English) Zbl 1514.58003
Reviewer: Savin Treanţă (Bucureşti)
The fractional \(p\)-biharmonic systems: optimal Poincaré constants, unique continuation and inverse problems. (English) Zbl 1516.35518
Reviewer: Tommi Brander (Horten)
Eigenvalue problems in \(\mathrm{L}^\infty\): optimality conditions, duality, and relations with optimal transport. (English) Zbl 07750995
Brief survey on functions of bounded variation (BV) in metric setting. (English) Zbl 1535.46046
Ambrosio, Luigi (ed.) et al., New trends on analysis and geometry in metric spaces. Lecture notes of the 10th school on analysis and geometry in metric spaces, Levico Terme, Italy, 2017. Cham: Springer; Florence: Fondazione CIME. Lect. Notes Math. 2296, 277-303 (2022).
Weak and viscosity solutions for non-homogeneous fractional equations in Orlicz spaces. (English) Zbl 1496.35160
Gradient estimates in anisotropic Lorentz spaces to general elliptic equations of \(p\)-growth. (English) Zbl 1493.35016
Reviewer: Maria Alessandra Ragusa (Catania)
An asymptotic expansion for the fractional \(p\)-Laplacian and for gradient-dependent nonlocal operators. (English) Zbl 07517068
Improved critical Hardy inequality and Leray-Trudinger type inequalities in Carnot groups. (English) Zbl 1490.43008
Boundary growth of Sobolev functions of monotone type for double phase functionals. (English) Zbl 1481.31002
Reviewer: Matti Vuorinen (Turku)
Concentration-compactness principle for Trudinger-Moser’s inequalities on Riemannian manifolds and Heisenberg groups: a completely symmetrization-free argument. (English) Zbl 1486.46039
The thresholds of the existence of maximizers for the critical sharp singular Moser-Trudinger inequality under constraints. (English) Zbl 1482.46043
Properties of extremal functions for \(p\)-capacity in \(R^2\). (Russian. English summary) Zbl 1475.31006
Weighted higher order exponential type inequalities in metric spaces and applications. (English) Zbl 1469.30122
Global Lorentz estimates for nonuniformly nonlinear elliptic equations via fractional maximal operators. (English) Zbl 1468.35026
Reviewer: Dian K. Palagachev (Bari)
Principal frequency of \(\Delta_\infty\) as limit of Rayleigh quotients in Orlicz spaces. (English) Zbl 1462.35224
Monotone Sobolev functions in planar domains: level sets and smooth approximation. (English) Zbl 1456.26015
Reviewer: Andrey Zahariev (Plovdiv)
Relaxation of nonlinear elastic energies related to Orlicz-Sobolev nematic elastomers. (English) Zbl 1445.49009
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 31, No. 2, 349-389 (2020).
Improved singular Moser-Trudinger inequalities and their extremal functions. (English) Zbl 1456.46033
Sobolev regularity for quasilinear parabolic equations with asymptotically regular nonlinearity. (English) Zbl 1448.35315
Regularizing effect of the lower-order terms in elliptic problems with Orlicz growth. (English) Zbl 1441.35128
Reviewer: Dumitru Motreanu (Perpignan)
A weighted Trudinger-Moser inequality on \(\mathbb{R}^N\) and its application to Grushin operator. (English) Zbl 1448.35142
Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity. (English) Zbl 1430.30011
Higher order Calderón-Zygmund estimates for the \(p\)-Laplace equation. (English) Zbl 1435.35182
Reviewer: Vladimir Bobkov (Plzeň)
Mappings related to extremal functions for \(p\)-capacity. (Russian. English summary) Zbl 1431.30024
A limiting problem for a family of eigenvalue problems involving \(p\)-Laplacians. (English) Zbl 1443.35010
Reviewer: Gianfranco Bottaro (Genova)
The limiting behaviour of solutions to a family of eigenvalue problems. (English) Zbl 1427.35169
Reviewer: Eric Stachura (Marietta)
New progress on weighted Trudinger-Moser and Gagliardo-Nirenberg, and critical Hardy inequalities on stratified groups. (English) Zbl 1436.46041
Boggiatto, Paolo (ed.) et al., Landscapes of time-frequency analysis. Based on talks given at the inaugural conference on aspects of time-frequency analysis, Turin, Italy, July 5–7, 2018. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 277-289 (2019).
Hölder continuity of weak solutions of \(p\)-Laplacian PDEs with VMO coefficients. (English) Zbl 1418.35058
On a family of torsional creep problems involving rapidly growing operators in divergence form. (English) Zbl 1426.35130
Reviewer: Dumitru Motreanu (Perpignan)
Lindelöf theorems for monotone Sobolev functions in Orlicz spaces on uniform domains. (English) Zbl 1418.31008
Spherical limits for Riesz potentials of functions in central generalized Orlicz-Morrey spaces on the unit ball. (English) Zbl 1409.31001
Reviewer: Paolo Musolino (Padova)
Lorentz estimate with a variable power for parabolic obstacle problems with non-standard growths. (English) Zbl 1406.35074
Reviewer: Wenhui Shi (Heidelberg)
The convergence of nonnegative solutions for the family of problems \(-\varDelta_p u= \lambda e^u\) as \(p \rightarrow \infty\). (English) Zbl 1404.35311
Reviewer: Rodica Luca (Iaşi)
Improved Moser-Trudinger inequality of Tintarev type in dimension \(n\) and the existence of its extremal functions. (English) Zbl 1405.26019
Reviewer: Choonkil Park (Seoul)
Inhomogeneous torsional creep problems in anisotropic Orlicz Sobolev spaces. (English) Zbl 1401.35083
Reviewer: Dian K. Palagachev (Bari)
Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg groups and existence of ground state solutions. (English) Zbl 1402.46026
Boundary behavior of monotone Sobolev functions in Orlicz spaces on John domains in a metric space. (English) Zbl 1395.30060
Convex analysis in groups and semigroups: a sampler. (English) Zbl 1392.49007
Reviewer: Fabián Flores-Bazan (Concepción)
Growth properties of potentials in central Morrey-Orlicz spaces on the unit ball. (English) Zbl 1396.31004
Reviewer: Stephen J. Gardiner (Dublin)
Improved Moser-Trudinger type inequalities in the hyperbolic space \(\mathbb{H}^n\). (English) Zbl 1381.26021
On the convergence of the sequence of solutions for a family of eigenvalue problems. (English) Zbl 1516.35290
Growth properties for Riesz potentials of functions in weighted variable \(L^{p(\cdot)}\) spaces. (English) Zbl 1375.31008
Matrix \(\mathcal A_p\) weights, degenerate Sobolev spaces, and mappings of finite distortion. (English) Zbl 1357.30015
Reviewer: Matti Vuorinen (Turku)
Eigenvalues for double phase variational integrals. (English) Zbl 1364.35226
Reviewer: Jesús Hernández (Madrid)
Asymptotics for the best Sobolev constants and their extremal functions. (English) Zbl 1355.35081
Reviewer: Max Fathi (Toulouse)
Nonlinear parabolic equations with variable exponent growth in nonsmooth domains. (English) Zbl 1355.35112
On \(W^{1,q(\cdot)}\)-estimates for elliptic equations of \(p(x)\)-Laplacian type. (English. French summary) Zbl 1344.35058
Reviewer: Dumitru Motreanu (Perpignan)
Gradient estimates for elliptic equations with \(L^{p(\cdot )}\log L\) growth. (English) Zbl 1342.35090
Reviewer: Junichi Aramaki (Saitama)
Existence of nonnegative viscosity solutions for a class of problems involving the \(\infty\)-Laplacian. (English) Zbl 1338.35104
Non-autonomous functionals, borderline cases and related function classes. (English) Zbl 1335.49057
St. Petersbg. Math. J. 27, No. 3, 347-379 (2016) and Algebra Anal. 27, No. 3, 6-50 (2015).
Remarks on the behavior of the best Sobolev constants. (English) Zbl 1335.35004
Carvalho, Alexandre N. (ed.) et al., Contributions to nonlinear elliptic equations and systems. A tribute to Djairo Guedes de Figueiredo on the occasion of his 80th birthday. Cham: Birkhäuser/Springer (ISBN 978-3-319-19901-6/hbk; 978-3-319-19902-3/ebook). Progress in Nonlinear Differential Equations and Their Applications 86, 173-185 (2015).
Boundary limits of monotone Sobolev functions with variable exponent on uniform domains in a metric space. (English) Zbl 1308.30066
Higher integrability for nonlinear elliptic equations with variable growth and discontinuous coefficients. (English) Zbl 1310.35057
Front propagation in nonlinear parabolic equations. (English) Zbl 1315.35018
Reviewer: Denise Huet (Nancy)
New characterizations of Sobolev spaces on the Heisenberg group. (English) Zbl 1316.46033
MSC:
46E35
Differentiability in the Sobolev space \(W^{1,n-1}\). (English) Zbl 1305.26030
Reviewer: Jürgen Appell (Würzburg)
The principal frequency of \(\Delta_\infty\) as a limit of Rayleigh quotients involving Luxemburg norms. (English) Zbl 1286.35184
On the continuity of the Luxemburg norm of the gradient in \(L^{p(\cdot )}\) with respect to \(p(\cdot )\). (English) Zbl 1284.35008
Lindelöf theorems for monotone Sobolev functions in Orlicz spaces. (English) Zbl 1309.31007
Reviewer: Hans Triebel (Jena)
The Robin eigenvalue problem for the \(p(x)\)-Laplacian as \(p\to \infty \). (English) Zbl 1292.35137
A new approach to sharp Moser-Trudinger and Adams type inequalities: a rearrangement-free argument. (English) Zbl 1294.46034
Reviewer: Raymond Johnson (Houston)
\(H\)-convex distributions in stratified groups. (English) Zbl 1302.46027
Reviewer: Helge Glöckner (Paderborn)
On the boundary limits of monotone Sobolev functions in variable exponent Orlicz spaces. (English) Zbl 1261.31003
Nonlinear diffusion equations driven by the \(p(\cdot)\)-Laplacian. (English) Zbl 1264.35136
Reviewer: Yuanyuan Ke (Beijing)
Nonlinear gradient estimates for elliptic equations of general type. (English) Zbl 1263.35102
Reviewer: Dian K. Palagachev (Bari)
Diffeomorphic approximation of Sobolev homeomorphisms. (English) Zbl 1260.46023
Reviewer: Stephen J. Gardiner (Dublin)
Composition operators in weighted Sobolev spaces on Carnot groups. (English) Zbl 1249.46035
Reviewer: Hans Triebel (Jena)
Adams inequalities on measure spaces. (English) Zbl 1219.46032
Reviewer: Dian K. Palagachev (Bari)
Gradient estimates for weak solutions of \(\mathcal A\)-harmonic equations. (English) Zbl 1196.35096
Affine Moser-Trudinger and Morrey-Sobolev inequalities. (English) Zbl 1202.26029
Reviewer: Wing-Sum Cheung (Hong Kong)
Boundary limits for bounded quasiregular mappings. (English) Zbl 1175.30022
Reviewer: Xuan Loc Nguyen (Hanoi)
Harnack’s inequality for \( p(\cdot\))-harmonic functions with unbounded exponent \(p\). (English) Zbl 1204.46021
The best constant and extremals of the Sobolev embeddings in domains with holes: the \(L^{\infty }\) case. (English) Zbl 1181.49006
Toward the theory of ring \(Q\)-homeomorphisms. (English) Zbl 1161.30009
Reviewer: Sergei V. Rogosin (Minsk)
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