A class of double phase problem without Ambrosetti-Rabinowitz-type growth condition: infinitely many solutions

Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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Eigenvalues for double phase variational integrals
On variational problems and nonlinear elliptic equations with nonstandard growth conditions
An imbedding theorem for Musielak-Sobolev spaces
Local boundedness of minimizers with limit growth conditions
Bounded minimisers of double phase variational integrals
Global gradient estimates for the borderline case of double phase problems with BMO coefficients in nonsmooth domains
Orlicz spaces and modular spaces
On Lavrentiev's phenomenon
On some variational problems
Solitons in several space dimensions: Derrick's problem and infinitely many solutions
Partial regularity for general systems of double phase type with continuous coefficients
Existence and multiplicity results for double phase problem
Orlicz spaces and generalized Orlicz spaces
Regularity for general functionals with double phase
On the stationary solutions of generalized reaction diffusion equations with \(p\)\& \(q\)-Laplacian
Manifold constrained non-uniformly elliptic problems
Existence results for double phase implicit obstacle problems involving multivalued operators
Convergence analysis for double phase obstacle problems with multivalued convection term
Existence and nonexistence of solutions for the double phase problem
A new class of double phase variable exponent problems: existence and uniqueness
Regularity results for generalized double phase functionals
Sign changing solution for a double phase problem with nonlinear boundary condition via the Nehari manifold
Regularity for double phase variational problems
Variational inequalities in Musielak-Orlicz-Sobolev spaces
Existence and uniqueness results for double phase problems with convection term
Ground state and nodal solutions for a class of double phase problems
Constant sign solutions for double phase problems with superlinear nonlinearity
Regularity for double phase problems under additional integrability assumptions
Positive solutions for nonlinear Neumann problems with singular terms and convection
Multiple solutions for a class of double phase problem without the Ambrosetti-Rabinowitz conditions
Existence of solutions for double-phase problems by topological degree
Non-autonomous functionals, borderline cases and related function classes
Existence results for double-phase problems via Morse theory
Three ground state solutions for double phase problem
On a class of double-phase problem without Ambrosetti–Rabinowitz-type conditions
A borderline case of Calderón–Zygmund estimates for nonuniformly elliptic problems
Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves
Double-phase problems and a discontinuity property of the spectrum
Variant fountain theorems and their applications

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