Positive solutions for a double phase eigenvalue problem

DOI10.1007/s11117-022-00945-7zbMath1500.35180OpenAlexW4306699549MaRDI QIDQ2087420

Nikolaos S. Papageorgiou, Yunru Bai, Sheng-Da Zeng

Publication date: 20 October 2022

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-022-00945-7

zbMATH Keywords

existencevariational methodsdouble phase eigenvalue problemMusielak-Orlicz-space

Mathematics Subject Classification ID

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

• Eigenvalues for double phase variational integrals
• Existence and multiplicity results for double phase problem
• Orlicz spaces and generalized Orlicz spaces
• Regularity for general functionals with double phase
• Growth conditions and regularity for weak solutions to nonlinear elliptic pdes
• Recent developments in problems with nonstandard growth and nonuniform ellipticity
• Singular Dirichlet \((p, q)\)-equations
• Constant sign solutions for double phase problems with superlinear nonlinearity
• Regularity for minimizers for functionals of double phase with variable exponents
• Bifurcation phenomena for nonlinear superdiffusive Neumann equations of logistic type
• Regularity and existence of solutions of elliptic equations with p,q- growth conditions
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• Nonlinear Analysis - Theory and Methods
• Partial Differential Equations with Variable Exponents
• Multiplicity results for a degenerate elliptic equation with logistic reaction

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