The Lane-Emden equation with variable double-phase and multiple regime

DOI10.1090/proc/15050zbMath1444.35035arXiv2002.02190OpenAlexW3005639150MaRDI QIDQ5111506

Vicenţiu D. Rădulescu, Claudianor Oliveira Alves

Publication date: 27 May 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.02190

zbMATH Keywords

Lane-Emden equationnonhomogeneous differential operatorvariable exponentPalais principle of symmetric criticality\(p\)-Laplacian, double-phase energy

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational methods for second-order elliptic equations (35J20) Singular elliptic equations (35J75) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

Unbalanced fractional elliptic problems with exponential nonlinearity: subcritical and critical cases ⋮ Multiplicity of positive radial solutions for semilinear elliptic equation with locally concave-convex variable exponent ⋮ High perturbations of quasilinear problems with double criticality ⋮ Quasilinear double phase problems in the whole space via perturbation methods ⋮ Asymptotic analysis of double phase mixed boundary value problems with multivalued convection term ⋮ Global well-posedness of solutions to a class of double phase parabolic equation with variable exponents ⋮ Singular elliptic problems with unbalanced growth and critical exponent ⋮ On the diffusion \(p(x)\)-Laplacian with logarithmic nonlinearity ⋮ Existence of solution for a class of heat equation involving the \(p(x)\) Laplacian with triple regime ⋮ Double-phase parabolic equations with variable growth and nonlinear sources ⋮ Multiple solutions for a class of quasilinear problems with double criticality ⋮ Lipschitz estimates for partial trace operators with extremal Hessian eigenvalues

Cites Work

• Unnamed Item
• On variational problems and nonlinear elliptic equations with nonstandard growth conditions
• Bounded minimisers of double phase variational integrals
• Lebesgue and Sobolev spaces with variable exponents
• The principle of symmetric criticality
• Orlicz spaces and modular spaces
• The concentration-compactness principle in the calculus of variations. The limit case. I
• Multiple integrals in the calculus of variations
• On the definition and the lower semicontinuity of certain quasiconvex integrals
• Existence of solitary waves in higher dimensions
• Double phase problems with variable growth
• Regularity for general functionals with double phase
• Double phase anisotropic variational problems and combined effects of reaction and absorption terms
• The principle of symmetric criticality for non-differentiable mappings
• Local conditions insuring bifurcation from the continuous spectrum
• Double-phase problems with reaction of arbitrary growth
• Regularity for double phase variational problems
• Ground state and nodal solutions for a class of double phase problems
• Ground state solutions for a semilinear elliptic problem with critical-subcritical growth
• Harnack inequalities for double phase functionals
• Regularity and existence of solutions of elliptic equations with p,q- growth conditions
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• Lipschitz Bounds and Nonuniform Ellipticity
• Partial Differential Equations with Variable Exponents
• Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves
• Double-phase problems and a discontinuity property of the spectrum
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)