Found 238 Documents (Results 1–100)
Polynomial-filled function algorithm for unconstrained global optimization problems. (English) Zbl 1540.90220
Constraint minimization problem of the nonlinear Schrödinger equation with the Anderson Hamiltonian. (English) Zbl 1541.35165
Principles of dynamic optimization. (English) Zbl 07813651
Springer Monographs in Mathematics. Cham: Springer (ISBN 978-3-031-50088-6/hbk; 978-3-031-50091-6/pbk; 978-3-031-50089-3/ebook). xviii, 781 p. (2024).
MSC:
90C39
Local well-posedness and standing waves with prescribed mass for Schrödinger-Poisson systems with a logarithmic potential in \(\mathbb{R}^2\). (English) Zbl 1529.35188
Solution sets of three sparse optimization problems for multivariate regression. (English) Zbl 07762761
Characterizations of higher rank hyperbolicity. (English) Zbl 1535.53043
Reviewer: Chenxi Wu (Piscataway)
A non-autonomous variational problem describing a nonlinear Timoshenko beam. (English) Zbl 1525.74115
On local minimizers of nonconvex homogeneous quadratically constrained quadratic optimization with at most two constraints. (English) Zbl 1527.90179
Finding global minima with an inflection point-based filled function algorithm. (English) Zbl 1508.65063
A new deduction of the strict sub-additive inequality and its application: ground state normalized solution to Schrödinger equations with potential. (English) Zbl 1538.35161
Steklov eigenvalue problems with indefinite weight for the \((p, q)\)-Laplacian. (English) Zbl 07831183
On a positive solutions for \((p, q)\)-Laplacian Steklov problem with two parameters. (English) Zbl 07801869
A new filled function for global minimization and system of nonlinear equations. (English) Zbl 1508.65060
A class of parameter-free filled functions for unconstrained global optimization. (English) Zbl 07547378
How to correctly answer ‘is the optimal critical point a local minimizer?’ in calculus courses. (English) Zbl 1491.97029
MSC:
97I60
New LP-based local and global algorithms for continuous and mixed-integer nonconvex quadratic programming. (English) Zbl 1490.90212
A constrained variational model of biomolecular solvation and its numerical implementation. (English) Zbl 1524.35259
The critical points of the elastic energy among curves pinned at endpoints. (English) Zbl 1481.74223
On optimal solutions of well-posed problems and variational inequalities. (English) Zbl 1496.49009
Reviewer: Michał Bełdziński (Łódź)
A new parameter free filled function for solving unconstrained global optimization problems. (English) Zbl 1479.90163
MSC:
90C26
\(\varepsilon\)-subdifferentials and related results for quasiconvex programming. (English) Zbl 1479.90171
Uniqueness and sign properties of minimizers in a quasilinear indefinite problem. (English) Zbl 1480.35272
Vortex-filament solutions in the Ginzburg-Landau-Painlevé theory of phase transition. (English. French summary) Zbl 1480.35170
A generalization of Aubin’s result for a Yamabe-type problem on smooth metric measure spaces. (English) Zbl 1479.53052
On the nearest stable \(2\times 2\) matrix, dedicated to Prof. Sze-Bi Hsu in appreciation of his inspiring ideas. (English) Zbl 1466.15023
MSC:
15A60
Nonexistence of variational minimizers related to a quasilinear singular problem in metric measure spaces. (English) Zbl 1472.35204
Reviewer: Thomas Zürcher (Katowice)
Global invertibility of Sobolev maps. (English) Zbl 1475.74011
Reviewer: Alexandre Danescu (Lyon)
Normalized solutions for nonlinear Schrödinger systems with linear couples. (English) Zbl 1460.35320
Erratum to: “Cardinality estimation of support of the global minimizer for the interaction energy with mildly repulsive potentials”. (English) Zbl 1482.49024
MSC:
49K20
The theories of a novel filled function method for non-smooth global optimization. (English) Zbl 1485.90100
Zhang, Zhao (ed.) et al., Algorithmic aspects in information and management. 14th international conference, AAIM 2020, Jinhua, China, August 10–12, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12290, 381-390 (2020).
MSC:
90C26
A new filled function for global optimization problems with box constraints. (English) Zbl 1474.90452
Existence and stability of standing waves for the Choquard equation with partial confinement. (English) Zbl 1448.35211
Closing the gap between necessary and sufficient conditions for local nonglobal minimizer of trust region subproblem. (English) Zbl 1491.90115
On local non-global minimizers of quadratic optimization problem with a single quadratic constraint. (English) Zbl 1464.90052
A necessary and sufficient criterion for the existence of the global minima of a continuous lower bounded function on a noncompact set. (English) Zbl 1465.90074
Reviewer: Karel Zimmermann (Praha)
On the existence of extremals for the weighted Yamabe problem on compact manifolds. (English) Zbl 1440.49050
Reviewer: Solmaz Khajehpour (Tehran)
Optimal designs in sparse linear models. (English) Zbl 1441.62198
Reviewer: Fabio Rapallo (Alessandria)
Matrix optimization over low-rank spectral sets: stationary points and local and global minimizers. (English) Zbl 1432.90124
On a positive solution for \((p,q)\)-Laplace equation with nonlinear boundary conditions and indefinite weights. (English) Zbl 1431.35027
Variational methods in nonlinear analysis. With applications in optimization and partial differential equations. (English) Zbl 1443.49001
De Gruyter Graduate. Berlin: De Gruyter (ISBN 978-3-11-064736-5/pbk; 978-3-11-064738-9/ebook). xxv, 474 p. (2020).
Reviewer: Valerii V. Obukhovskij (Voronezh)
MSC:
49-02
47-02
35J20
35J25
35J50
35J57
46A55
47H04
47H05
47H09
47H10
47J20
47J25
47J30
49J35
49J40
49J50
49J52
49J53
49K20
49K35
49N15
49N60
58C30
58E05
58E30
58E35
58J05
58J32
90C25
Cardinality estimation of support of the global minimizer for the interaction energy with mildly repulsive potentials. (English) Zbl 1453.49011
Physica D 399, 51-57 (2019); erratum ibid. 406, Article ID 132473, 2 p. (2020).
MSC:
49K20
Nonlinear aggregation-diffusion equations: radial symmetry and long time asymptotics. (English) Zbl 1427.35136
Reviewer: Alain Brillard (Riedisheim)
Quasiconvexity and relaxation in optimal transportation of closed differential forms. (English) Zbl 1470.74012
A filled function which has the same local minimizer of the objective function. (English) Zbl 1428.90134
MSC:
90C26
A new proximal iterative hard thresholding method with extrapolation for \(\ell _0\) minimization. (English) Zbl 1423.90201
MSC:
90C26
Run-and-inspect method for nonconvex optimization and global optimality bounds for R-local minimizers. (English) Zbl 1415.90085
On the existence and uniqueness of exponentially harmonic maps and some related problems. (English) Zbl 1426.35092
Reviewer: Andrei Perjan (Chişinău)
Compactly supported stationary states of the degenerate Keller-Segel system in the diffusion-dominated regime. (English) Zbl 1428.35618
Reviewer: Farruh Mukhamedov (Kuantan)
Minimizer of an isoperimetric ratio on a metric on \(\mathbb{R}^2\) with finite total area. (English) Zbl 1404.53082
On the local and global minimizers of \(\ell_0\) gradient regularized model with box constraints for image restoration. (English) Zbl 1397.49021
A filled function method for global optimization with inequality constraints. (English) Zbl 1433.90125
DC approach to weakly convex optimization and nonconvex quadratic optimization problems. (English) Zbl 1480.90207
Reviewer: Alfred Göpfert (Leipzig)
Inequalities for \(H\)-invex functions with applications for uniformly convex and superquadratic functions. (English) Zbl 1499.49025
Global minimizers of the Allen-Cahn equation in dimension \(n\geq 8\). (English. French summary) Zbl 1380.35071
Reviewer: Rodica Luca (Iaşi)
On 1-Laplacian elliptic equations modeling magnetic resonance image Rician denoising. (English) Zbl 1379.94006
Double well potential function and its optimization in the \(N\)-dimensional real space. II. (English) Zbl 1362.49016
Carleman weight functions for a globally convergent numerical method for ill-posed Cauchy problems for some quasilinear PDEs. (English) Zbl 1353.65098
Two new classes of filled functions. (Chinese. English summary) Zbl 1363.90201
New definition of filled function applied to global optimization. (Chinese. English summary) Zbl 1363.90193
Nonlinear Fredholm alternative for the \(p\)-Laplacian under nonhomogeneous Neumann boundary condition. (English) Zbl 1345.35044
A class of parameter-free filled functions for box-constrained system of nonlinear equations. (English) Zbl 1338.65166
On a positive solution for \((p,q)\)-Laplace equation with indefinite weight. (English) Zbl 1334.35069
A criterion for an approximation global optimal solution based on the filled functions. (English) Zbl 1317.90287
A rigidity result for global Mumford-Shah minimizers in dimension three. (English. French summary) Zbl 1406.49053
A primal dual active set with continuation algorithm for the \(\ell^0\)-regularized optimization problem. (English) Zbl 1329.49042
A continuous exact \(\ell_0\) penalty (CEL0) for least squares regularized problem. (English) Zbl 1325.65086
Modified filled function method for global discrete optimization. (English) Zbl 1327.90247
Gao, David (ed.) et al., Advances in global optimization. Selected papers based on the presentations at the 3rd world congress on global optimization in engineering and science, WCGO, Anhui, China, July 8–12, 2013. Cham: Springer (ISBN 978-3-319-08376-6/hbk; 978-3-319-08377-3/ebook). Springer Proceedings in Mathematics & Statistics 95, 57-68 (2015).
Nonlocal diffusion equations. (English) Zbl 1332.35195
Reviewer: Vincenzo Vespri (Firenze)
Global minimizers for Tonelli Lagrangians on the 2-torus. (English) Zbl 1379.37115
Reviewer: Andrew Bucki (Edmond)
Explicit conformally constrained Willmore minimizers in arbitrary codimension. (English) Zbl 1302.53012
Reviewer: Huili Liu (Shenyang)
A continuously differentiable filled function method for global optimization. (English) Zbl 1296.65089
Existence and multiplicity of non-trivial solutions for a class of modified Schrödinger equation with non-coercive potential. (English) Zbl 1334.35321
A new discrete filled function method for finding global minimizer of the integer programming. (English) Zbl 1401.90127
MSC:
90C10
A filled function method for inequality constrained global optimization. (Chinese. English summary) Zbl 1313.90181
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