Nehari manifold approach for superlinear double phase problems with variable exponents
DOI10.1007/s10231-023-01375-2arXiv2211.09189MaRDI QIDQ6196042
Patrick Winkert, Ángel Crespo-Blanco
Publication date: 14 March 2024
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.09189
mountain pass theoremexistence of solutionsmultiple solutionsNehari manifolddouble phase operator with variable exponent
Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92) Elliptic equations and elliptic systems (35Jxx)
Related Items (1)
Cites Work
- Unnamed Item
- Eigenvalues for double phase variational integrals
- On variational problems and nonlinear elliptic equations with nonstandard growth conditions
- Bounded minimisers of double phase variational integrals
- Lebesgue and Sobolev spaces with variable exponents
- Characteristic values associated with a class of nonlinear second-order differential equations
- The maximum principle
- Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
- On Lavrentiev's phenomenon
- Existence and multiplicity results for double phase problem
- Regularity for general functionals with double phase
- Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
- Minimax theorems
- Existence results for double phase implicit obstacle problems involving multivalued operators
- An existence result for singular Finsler double phase problems
- Lipschitz bounds and nonautonomous integrals
- The boundedness and Hölder continuity of weak solutions to elliptic equations involving variable exponents and critical growth
- Constant sign solutions for double phase problems with variable exponents
- Maximal regularity for local minimizers of non-autonomous functionals
- A new class of double phase variable exponent problems: existence and uniqueness
- Existence and multiplicity of solutions to concave-convex-type double-phase problems with variable exponent
- Existence results for double phase problem in Sobolev-Orlicz spaces with variable exponents in complete manifold
- Double phase obstacle problems with variable exponent
- Double phase problems with variable growth and convection for the Baouendi-Grushin operator
- Sign changing solution for a double phase problem with nonlinear boundary condition via the Nehari manifold
- Infinitely many solutions for double phase problem with unbounded potential in \(\mathbb{R}^N\)
- Constant sign and nodal solutions for superlinear double phase problems
- Regularity for double phase variational problems
- Existence and uniqueness results for double phase problems with convection term
- Constant sign solutions for double phase problems with superlinear nonlinearity
- Optimal Lipschitz criteria and local estimates for non-uniformly elliptic problems
- Regularity for minimizers for functionals of double phase with variable exponents
- Harnack inequalities for double phase functionals
- Regularity and existence of solutions of elliptic equations with p,q- growth conditions
- Symmetry and monotonicity of singular solutions of double phase problems
- Quasilinear double phase problems in the whole space via perturbation methods
- A double phase problem involving Hardy potentials
- Non-autonomous functionals, borderline cases and related function classes
- Applied Nonlinear Functional Analysis
- On a Class of Nonlinear Second-Order Differential Equations
- Existence results for double-phase problems via Morse theory
- Nonlinear Analysis - Theory and Methods
- The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
- Lipschitz Bounds and Nonuniform Ellipticity
- Double-phase problems and a discontinuity property of the spectrum
- Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
- Anisotropic Dirichlet double phase problems with competing nonlinearities
- Infinitely many solutions to Kirchhoff double phase problems with variable exponents
This page was built for publication: Nehari manifold approach for superlinear double phase problems with variable exponents
