Positive solutions for singular double phase problems

DOI10.1016/j.jmaa.2020.123896zbMath1467.35025arXiv2105.06726OpenAlexW3000882909WikidataQ126305017 ScholiaQ126305017MaRDI QIDQ2033252

Calogero Vetro, Nikolaos S. Papageorgiou, Dušan D. Repovš

Publication date: 14 June 2021

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

Full work available at URL: https://arxiv.org/abs/2105.06726

zbMATH Keywords

Nehari manifoldsingular termdiscontinuous weight

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) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (20)

Liouville results for double phase problems in \(\mathbb{R}^N\) ⋮ Existence of solutions for singular double phase problems via the Nehari manifold method ⋮ Existence results for double phase problem in Sobolev-Orlicz spaces with variable exponents in complete manifold ⋮ On \(p(z)\)-Laplacian system involving critical nonlinearities ⋮ Nehari manifold method for singular double phase problem with optimal control on parameter ⋮ Nehari manifold for singular fractionalp(x,.)-Laplacian problem ⋮ Double phase systems with convex-concave nonlinearity on complete manifold ⋮ Existence of the solution for a double phase system with convex nonlinearities ⋮ Parametric superlinear double phase problems with singular term and critical growth on the boundary ⋮ Existence of solutions for a singular double phase problem involving a \(\psi\)-Hilfer fractional operator via Nehari manifold ⋮ Positive solutions for anisotropic singular \((p,q)\)-equations ⋮ Multiplicity of Solutions to a p-q Fractional Laplacian System with Concave Singular Nonlinearities ⋮ A multiplicity results to a p-q Laplacian system with a concave and singular nonlinearities ⋮ Recent developments in problems with nonstandard growth and nonuniform ellipticity ⋮ Existence results for double phase obstacle problems with variable exponents ⋮ Least energy solutions with sign information for parametric double phase problems ⋮ Nonnegative solution of a class of double phase problems with logarithmic nonlinearity ⋮ Nehari manifold for weighted singular fractional \(p\)-Laplace equations ⋮ Multiplicity of solutions for a singular system involving the fractional \(p\)-\(q\)-Laplacian operator and sign-changing weight functions ⋮ Strongly singular double phase problems

Cites Work

• Unnamed Item
• Unnamed Item
• Eigenvalues for double phase variational integrals
• Bounded minimisers of double phase variational integrals
• The maximum principle
• Double phase problems with variable growth
• Existence and multiplicity results for double phase problem
• Regularity for double phase variational problems
• Nonlinear singular problems with indefinite potential term
• Harnack inequalities for double phase functionals
• Positive solutions for singular \((p,2)\)-equations
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Applied Nonlinear Functional Analysis
• Nonlinear Analysis - Theory and Methods
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
• Isotropic and anisotropic double-phase problems: old and new
• Combined effects of singular and superlinear nonlinearities in some singular boundary value problems.

This page was built for publication: Positive solutions for singular double phase problems