On a class of critical double phase problems

DOI10.1016/j.jmaa.2022.126420zbMath1497.35228arXiv2107.12835OpenAlexW3186778300MaRDI QIDQ2157679

Patrick Winkert, Csaba Farkas, Alessio Fiscella

Publication date: 22 July 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.12835

zbMATH Keywords

existencecritical growthdouble phase operator

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Related Items (3)

Multiplicity results for double phase problems involving a new type of critical growth ⋮ On critical double phase Choquard problems with singular nonlinearity ⋮ Existence and multiplicity results for parameter Kirchhoff double phase problem with Hardy–Sobolev exponents

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Eigenvalues for double phase variational integrals
• Existence of entire solutions for a class of quasilinear elliptic equations
• Bounded minimisers of double phase variational integrals
• Multiplicity of positive solutions to a \(p\)--\(q\)-Laplacian equation involving critical nonlinearity
• On a class of critical \((p,q)\)-Laplacian problems
• Multiple solutions for the p\&q-Laplacian problem with critical exponents
• Functional analysis, Sobolev spaces and partial differential equations
• The existence of a non-minimal solution to the SU(2) Yang-Mills-Higgs equations on \(R^ 3.\) I
• The existence of a non-minimal solution to the SU(2) Yang-Mills-Higgs equations on \(R^ 3.\) II
• Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
• Existence and multiplicity results for double phase problem
• Orlicz spaces and generalized Orlicz spaces
• Regularity for general functionals with double phase
• Existence results for double phase implicit obstacle problems involving multivalued operators
• An existence result for singular Finsler double phase problems
• Existence of solutions for double phase obstacle problems with multivalued convection term
• Recent developments in problems with nonstandard growth and nonuniform ellipticity
• A new class of double phase variable exponent problems: existence and uniqueness
• Sign changing solution for a double phase problem with nonlinear boundary condition via the Nehari manifold
• Constant sign and nodal solutions for superlinear double phase problems
• Singular Finsler double phase problems with nonlinear boundary condition
• 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
• Infinitely many solutions for critical degenerate Kirchhoff type equations involving the fractional \(p\)-Laplacian
• Harnack inequalities for double phase functionals
• Regularity and existence of solutions of elliptic equations with p,q- growth conditions
• A double phase problem involving Hardy potentials
• Applied Nonlinear Functional Analysis
• On a p(x)-Kirchhoff equation with critical exponent and an additional nonlocal term via truncation argument
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
• Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
• Positive solutions for the p-Laplacian: application of the fibrering method
• Existence results for double-phase problems via Morse theory
• On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries
• Multiplicity Results for an Anisotropic Equation with Subcritical or Critical Growth

This page was built for publication: On a class of critical double phase problems