Existence and multiplicity results for a kind of double phase problems with mixed boundary value conditions

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Cites Work

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Eigenvalues for double phase variational integrals
An imbedding theorem for Musielak-Sobolev spaces
Local boundedness of minimizers with limit growth conditions
Existence of strong solutions of a \(p(x)\)-Laplacian Dirichlet problem without the Ambrosetti-Rabinowitz condition
Orlicz spaces and modular spaces
On Lavrentiev's phenomenon
Existence and multiplicity results for double phase problem
Orlicz spaces and generalized Orlicz spaces
Regularity for general functionals with double phase
Minimax theorems
Existence and multiplicity results for double phase problem with nonlinear boundary condition
A new class of double phase variable exponent problems: existence and uniqueness
Nonlocal double phase complementarity systems with convection term and mixed boundary conditions
Sign changing solution for a double phase problem with nonlinear boundary condition via the Nehari manifold
Variational inequalities in Musielak-Orlicz-Sobolev spaces
Borderline gradient continuity of minima
Dual variational methods in critical point theory and applications
Harnack inequalities for double phase functionals
Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
Density of smooth functions in W ^{k, p(x)} ( Ω )
On the superlinear Steklov problem involving the p(x)-Laplacian
Existence of solutions for resonant double phase problems with mixed boundary value conditions
Existence of two solutions for Kirchhoff-double phase problems with a small perturbation without (AR)-condition

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