Singular elliptic problems with unbalanced growth and critical exponent

DOI10.1088/1361-6544/ab81edzbMath1441.35134arXiv1905.10609OpenAlexW3102632985MaRDI QIDQ5113321

Deepak Kumar, Konijeti Sreenadh, Vicenţiu D. Rădulescu

Publication date: 4 June 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.10609

zbMATH Keywords

Sobolev critical exponentsingular problem\((p,q)\)-Laplace equationdouble-phase energy

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Variational methods for higher-order elliptic equations (35J35) Singular elliptic equations (35J75) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

Multiplicity results for nonhomogeneous elliptic equations with singular nonlinearities, Unbalanced fractional elliptic problems with exponential nonlinearity: subcritical and critical cases, A qualitative study of \((p, q)\) singular parabolic equations: local existence, Sobolev regularity and asymptotic behavior, Existence of solutions for critical (p,q)-Laplacian equations in ℝN, On a defocusing quasilinear Schrödinger equation with singular term, Parameter estimates and a uniqueness result for double phase problem with a singular nonlinearity, Existence and multiplicity of solutions for a class of \(p\)-Kirchhoff-type equation \(\mathbb{R}^N\), Parametric singular double phase Dirichlet problems, Multiplicity results for generalized quasilinear critical Schrödinger equations in \(\mathbb{R}^N\), Global multiplicity of solutions to a defocusing quasilinear Schrödinger equation with the singular term, Existence of multiple positive solutions for singular p‐q‐Laplacian problems with critical nonlinearities, Symmetry and monotonicity property of a solution of \((p,q)\) Laplacian equation with singular terms, Interior and boundary regularity results for strongly nonhomogeneous \((p, q)\)-fractional problems, Existence and nonexistence of positive radial solutions of a quasilinear Dirichlet problem with diffusion, Unnamed Item, Global multiplicity of solutions for a modified elliptic problem with singular terms ^*, Sobolev and Hölder regularity results for some singular nonhomogeneous quasilinear problems, Nodal solutions for double phase Kirchhoff problems with vanishing potentials

Cites Work

• Unnamed Item
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• Bounded minimisers of double phase variational integrals
• A class of \(p\)-\(q\)-Laplacian type equation with concave-convex nonlinearities in bounded domain
• Calderón-Zygmund estimates and non-uniformly elliptic operators
• Lane-Emden-Fowler equations with convection and singular potential
• Positive solutions of the \(p\)-Laplace equation with singular nonlinearity
• On the definition and the lower semicontinuity of certain quasiconvex integrals
• Convexity conditions and existence theorems in nonlinear elasticity
• Sublinear singular elliptic problems with two parameters.
• Some recent results on the Dirichlet problem for \((p,q)\)-Laplace equations
• Regularity for general functionals with double phase
• On the stationary solutions of generalized reaction diffusion equations with \(p\)\& \(q\)-Laplacian
• Double phase anisotropic variational problems and combined effects of reaction and absorption terms
• Multiplicity and asymptotic behavior of positive solutions for a singular semilinear elliptic problem.
• Minimax theorems
• Multiplicity of solutions for a quasilinear elliptic equation with \((p,q)\)-Laplacian and critical exponent on \(\mathbb{R}^N\)
• Generalized eigenvalue problems for \((p,q)\)-Laplacian with indefinite weight
• Regularity for double phase variational problems
• Harnack inequalities for double phase functionals
• Local ``superlinearity and ``sublinearity for the \(p\)-Laplacian
• A pair of positive solutions for \((p, q)\)-equations with combined nonlinearities
• Higher integrability for constrained minimizers of integral functionals with \((p, q)\)-growth in low dimension
• Existence of multiple positive solutions for singular elliptic problems with concave and convex nonlinearities
• On a Dirichlet problem with \((p,q)\)-Laplacian and parametric concave-convex nonlinearity
• Regularity and existence of solutions of elliptic equations with p,q- growth conditions
• Non-autonomous functionals, borderline cases and related function classes
• On multiplicity of positive solutions forN-Laplacian with singular and critical nonlinearity
• On a singular nonlinear dirichlet problem
• MULTIPLICITY OF POSITIVE SOLUTIONS FOR A SINGULAR AND CRITICAL ELLIPTIC PROBLEM IN ℝ²
• Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• On a dirichlet problem with a singular nonlinearity
• Some remarks on the regularity of minima of anisotropic integrals
• Multi-parameter bifurcation and asymptotics for the singular Lane–Emden–Fowler equation with a convection term
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
• The Lane-Emden equation with variable double-phase and multiple regime
• Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves
• Combined effects of singular and superlinear nonlinearities in some singular boundary value problems.