Existence and multiplicity of solutions for a class of anisotropic double phase problems

DOI10.1155/2020/8237492zbMath1480.35236OpenAlexW3012696948MaRDI QIDQ2246562

Senli Liu, Jie Yang, Haibo Chen

Publication date: 16 November 2021

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/8237492

zbMATH Keywords

existencedouble phase problem with variable exponents

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Cites Work

• Unnamed Item
• Eigenvalues for double phase variational integrals
• Superlinear problems without Ambrosetti and Rabinowitz growth condition
• Functional analysis, Sobolev spaces and partial differential equations
• On Lavrentiev's phenomenon
• On some variational problems
• Existence and multiplicity results for double phase problem
• Ground state solutions for quasilinear Schrödinger equations via Pohožaev manifold in Orlicz space
• Ground state solutions for generalized quasilinear Schrödinger equations without \((AR)\) condition
• Regularity for general functionals with double phase
• Minimax theorems
• Multiple solutions with sign information for a \(( p, 2)\)-equation with combined nonlinearities
• Double-phase problems with reaction of arbitrary growth
• Regularity for double phase variational problems
• On problems driven by the \((p(\cdot),q(\cdot))\)-Laplace operator
• Mountain pass type solutions and positivity of the infimum eigenvalue for quasilinear elliptic equations with variable exponents
• Harnack inequalities for double phase functionals
• Generalized Orlicz spaces and related PDE
• Quasilinear elliptic equations in \(\mathbb{R }^{N}\) via variational methods and Orlicz-Sobolev embeddings
• Weak solutions to Dirichlet boundary value problem driven by p(x)-Laplacian-like operator
• Existence results for double-phase problems via Morse theory
• Three ground state solutions for double phase problem
• Superlinear (p(z), q(z))-equations
• Existence and multiplicity of solutions for ‐Laplacian equations in
• Partial Differential Equations with Variable Exponents
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

This page was built for publication: Existence and multiplicity of solutions for a class of anisotropic double phase problems