Found 131 Documents (Results 1–100)
Sharp Sobolev inequalities on noncompact Riemannian manifolds with \(\mathrm{Ric} \geq 0\) via optimal transport theory. (English) Zbl 07906098
Explicit forms for extremals of sharp Sobolev trace inequalities on the unit balls. (English) Zbl 07882884
An exceptional property of the one-dimensional Bianchi-Egnell inequality. (English) Zbl 07845229
MSC:
46E35
Trudinger-Moser and Hardy-Trudinger-Moser inequalities for the Aharonov-Bohm magnetic field. (English) Zbl 07831584
Smooth approximation of Lipschitz domains, weak curvatures and isocapacitary estimates. (English) Zbl 07831580
Reviewer: Stefan Cobzaş (Cluj-Napoca)
On the Fenchel-Moreau conjugate of \(G\)-function and the second derivative of the modular in anisotropic Orlicz spaces. (English) Zbl 1543.46021
Bourgain-Brezis-Mironescu formula for \(W^{s, p}_q\)-spaces in arbitrary domains. (English) Zbl 1542.46029
Jumps in Besov spaces and fine properties of Besov and fractional Sobolev functions. (English) Zbl 1542.46026
Generalized Brezis-Seeger-Van Schaftingen-Yung formulae and their applications in ball Banach Sobolev spaces. (English) Zbl 1535.46042
Correction to: “New weighted sharp Trudinger-Moser inequalities defined on the whole Euclidean space \(\mathbb{R}^N\) and applications”. (English) Zbl 1516.35017
Caffarelli-Kohn-Nirenberg inequalities for curl-free vector fields and second order derivatives. (English) Zbl 1521.81120
Brezis-van Schaftingen-Yung formulae in ball Banach function spaces with applications to fractional Sobolev and Gagliardo-Nirenberg inequalities. (English) Zbl 1514.46025
Bourgain-Brezis-Mironescu-Maz’ya-Shaposhnikova limit formulae for fractional Sobolev spaces via interpolation and extrapolation. (English) Zbl 1508.46026
Reviewer: Hans Triebel (Jena)
Bourgain-Brezis-Mironescu convergence via Triebel-Lizorkin spaces. (English) Zbl 1508.46024
Reviewer: Hans Triebel (Jena)
MSC:
46E35
Extensions and traces of BV functions in rough domains and generalized Cheeger sets. (English) Zbl 1528.28009
Optimal \(C^\infty\)-approximation of functions with exponentially or sub-exponentially integrable derivative. (English) Zbl 1510.46015
Mosco convergence of Sobolev spaces and Sobolev inequalities for nonsmooth domains. (English) Zbl 1501.49010
Non-homogeneous Dirichlet-transmission problems for the anisotropic Stokes and Navier-Stokes systems in Lipschitz domains with transversal interfaces. (English) Zbl 1504.35152
Reviewer: Massimo Lanza de Cristoforis (Padova)
Elliptic methods for solving the linearized field equations of causal variational principles. (English) Zbl 1535.49009
Reviewer: Aygul Manapova (Ufa)
Hardy-Rellich and second order Poincaré identities on the hyperbolic space via Bessel pairs. (English) Zbl 1498.26035
Regularity properties for quasiminimizers of a \((p, q)\)-Dirichlet integral. (English) Zbl 1477.31046
Vanishing-concentration-compactness alternative for critical Sobolev embedding with a general integrand in \(\mathbb{R}^2\). (English) Zbl 1494.47124
Sharp Sobolev inequalities involving boundary terms revisited. (English) Zbl 1483.46033
Reviewer: Raymond Johnson (Columbia)
Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy. (English) Zbl 1471.35009
Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail. (English) Zbl 1471.35008
Compact Sobolev embeddings on non-compact manifolds via orbit expansions of isometry groups. (English) Zbl 1470.53038
Existence and regularity of solutions for nonlinear measure data problems with general growth. (English) Zbl 1465.35203
Reviewer: Lubomira Softova (Salerno)
New weighted sharp Trudinger-Moser inequalities defined on the whole euclidean space \(\mathbb{R}^N\) and applications. (English) Zbl 1458.35007
Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 50, 45 p. (2021); correction ibid. 62, No. 5, Paper No. 154, 3 p. (2023).
Optimizers of the Sobolev and Gagliardo-Nirenberg inequalities in \(\dot{W}^{s,p} \). (English) Zbl 1459.35170
Solenoidal extensions in domains with obstacles: explicit bounds and applications to Navier-Stokes equations. (English) Zbl 1457.35036
Reviewer: Prince Romeo Mensah (London)
Ground states of bi-harmonic equations with critical exponential growth involving constant and trapping potentials. (English) Zbl 1467.46033
New examples on Lavrentiev gap using fractals. (English) Zbl 1453.35082
Reviewer: Paolo Musolino (Padova)
Coercivity estimates for integro-differential operators. (English) Zbl 1444.47058
Reviewer: Mahmoud Annaby (Giza)
Besov class via heat semigroup on Dirichlet spaces. II: BV functions and Gaussian heat kernel estimates. (English) Zbl 1441.31007
On a parabolic equation, involving inverse square potential, defined on the whole space. (English) Zbl 1437.35435
A symmetry result in \(\mathbb{R}^2\) for global minimizers of a general type of nonlocal energy. (English) Zbl 1485.35375
A note on strong-form stability for the Sobolev inequality. (English) Zbl 1440.46033
Reviewer: Sofiane El-Hadi Miri (Tlemcen)
Existence and non-existence of minimizers for Poincaré-Sobolev inequalities. (English) Zbl 1430.35076
Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity. (English) Zbl 1430.30011
Factorizations and Hardy’s type identities and inequalities on upper half spaces. (English) Zbl 1435.26015
Reviewer: József Sándor (Cluj-Napoca)
Sharp weighted Trudinger-Moser-Adams inequalities on the whole space and the existence of their extremals. (English) Zbl 1421.35099
A general low-order partial regularity theory for asymptotically convex functionals with asymptotic dependence on the minimizer. (English) Zbl 1404.46032
Reviewer: Elvira Mascolo (Firenze)
Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg groups and existence of ground state solutions. (English) Zbl 1402.46026
Compactness properties and ground states for the affine Laplacian. (English) Zbl 1436.46042
Reviewer: Youssef El Hadfi (Khouribga)
Minimizers for the fractional Sobolev inequality on domains. (English) Zbl 1393.26026
Reviewer: Sorin-Mihai Grad (Chemnitz)
Distances between classes in \(W^{1,1}(\Omega ;{\mathbb {S}}^{1})\). (English) Zbl 1404.58019
Reviewer: Daniel Beltiţă (Bucureşti)
Minkowski valuations on convex functions. (English) Zbl 1400.52014
Reviewer: Judit Abardia-Evéquoz (Frankfurt a. M.)
A sharp Trudinger-Moser inequality on any bounded and convex planar domain. (English) Zbl 1369.46029
Reviewer: Fayou Zhao (Shanghai)
Bi-Sobolev homeomorphisms \(f\) with \(Df\) and \(Df^{-1}\) of low rank using laminates. (English) Zbl 1367.46030
Best constants and existence of maximizers for weighted Trudinger-Moser inequalities. (English) Zbl 1364.46026
Riemannian metrics on convex sets with applications to Poincaré and log-Sobolev inequalities. (English) Zbl 1355.53031
A strictly convex Sobolev function with null Hessian minors. (English) Zbl 1353.26008
Reviewer: Rita Pini (Milano)
On a generalization of \(L^p\)-differentiability. (English) Zbl 1355.46043
Reviewer: Jesús Hernández (Madrid)
Optimal decay of extremals for the fractional Sobolev inequality. (English) Zbl 1350.46024
Reviewer: Denise Huet (Nancy)
On a variational problem associated with a Hardy type inequality involving a mean oscillation. (English) Zbl 1345.26028
Reviewer: Petr Gurka (Praha)
Rigidity results with applications to best constants and symmetry of Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities. (English) Zbl 1336.26023
Reviewer: Javier Soria (Barcelona)
Existence of solitary waves for supercritical Schrödinger systems in dimension two. (English) Zbl 1327.35099
Reviewer: Marius Ghergu (Dublin)
Singular Poisson equations on Finsler-Hadamard manifolds. (English) Zbl 1329.58018
Reviewer: Andreas Kleefeld (Cottbus)
Compactness and existence results in weighted Sobolev spaces of radial functions. I: Compactness. (English) Zbl 1345.46026
Fractional semilinear Neumann problems arising from a fractional Keller-Segel model. (English) Zbl 1328.35283
Reviewer: Vicenţiu D. Rădulescu (Craiova)
Concentration-compactness principle and extremal functions for a sharp Trudinger-Moser inequality. (English) Zbl 1333.46033
Differentiability in the Sobolev space \(W^{1,n-1}\). (English) Zbl 1305.26030
Reviewer: Jürgen Appell (Würzburg)
Bi-Sobolev homeomorphism with zero Jacobian almost everywhere. (English) Zbl 1304.26009
Reviewer: Sorin-Mihai Grad (Chemnitz)
Regularity of the Monge-Ampère equation in Besov’s spaces. (English) Zbl 1290.35098
Reviewer: Florin Catrina (New York)
Quasilinear elliptic equations in \(\mathbb{R }^{N}\) via variational methods and Orlicz-Sobolev embeddings. (English) Zbl 1285.35039
Extrapolation results of Lions-Peetre type. (English) Zbl 1323.46016
Reviewer: Joaquím Martín (Barcelona)
Sharp higher-order Sobolev inequalities in the hyperbolic space \(\mathbb H^n\). (English) Zbl 1284.46029
Construction of blow-up sequences for the prescribed scalar curvature equation on \(S^n\). II: Annular domains. (English) Zbl 1264.53046
Reviewer: Agostino Prástaro (Roma)
An optimal Hardy-Morrey inequality. (English) Zbl 1261.26026
Reviewer: József Sándor (Cluj-Napoca)
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