On critical double phase Kirchhoff problems with singular nonlinearity

DOI10.1007/s12215-022-00762-7OpenAlexW4281696000MaRDI QIDQ2089940

Alessio Fiscella, Patrick Winkert, Rakesh Arora, Tuhina Mukherjee

Publication date: 24 October 2022

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-022-00762-7

zbMATH Keywords

critical growthsingular problemNehari manifoldfibering methoddouble phase operatornonlocal Kirchhoff term

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Second-order elliptic equations (35J15) Quasilinear elliptic equations (35J62) Singular elliptic equations (35J75)

Related Items

Existence results for singular double phase problem with variable exponents ⋮ A multiplicity theorem for double phase degenerate Kirchhoff problems ⋮ Multiplicity results for double phase problems involving a new type of critical growth ⋮ Nehari manifold method for singular double phase problem with optimal control on parameter ⋮ Critical fractional \(p\)-Laplacian system with negative exponents ⋮ On double phase Kirchhoff problems with singular nonlinearity ⋮ Systems of Kirchhoff type equations with gradient dependence in the reaction term via subsolution-supersolution method ⋮ Double phase systems with convex-concave nonlinearity on complete manifold ⋮ Existence of the solution for a double phase system with convex nonlinearities ⋮ Anisotropic and isotropic implicit obstacle problems with nonlocal terms and multivalued boundary conditions ⋮ Kirchhoff-type problems involving logarithmic nonlinearity with variable exponent and convection term ⋮ Parametric singular double phase Dirichlet problems ⋮ Existence of solutions for a double-phase variable exponent equation without the Ambrosetti-Rabinowitz condition ⋮ The Nehari manifold for double‐phase problems with convex and concave nonlinearities ⋮ On a class of double phase problem involving potentials terms

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