A critical Kirchhoff‐type problem involving the ‐Laplacian

DOI10.1002/MANA.201300045zbMath1321.35017OpenAlexW1949698000MaRDI QIDQ5408097

Filippo Cammaroto, Luca Vilasi

Publication date: 8 April 2014

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201300045

zbMATH Keywords

critical growth\(p\)- and \(q\)-Laplacianexisting solutionKirchhoff-type nonlocal problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Reaction-diffusion equations (35K57) Critical exponents in context of PDEs (35B33) Variational methods for second-order elliptic equations (35J20)

Related Items (5)

Existence and asymptotic behaviour for a Kirchhoff type equation with variable critical growth exponent ⋮ Multiple and nodal solutions for parametric Neumann problems with nonhomogeneous differential operator and critical growth ⋮ On a class of critical \(p\)-biharmonic Kirchhoff type problems with indefinite weights ⋮ A Kirchhoff type equation in \(\mathbb{R}^N\) Involving the fractional \((p, q)\)-Laplacian ⋮ A multiplicity result for a \((p,q)\)-Schrödinger-Kirchhoff type equation

Cites Work

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• The existence of a nontrivial solution to the \(p{\&}q\)-Laplacian problem with nonlinearity asymptotic to \(u^{p - 1}\) at infinity in \(\mathbb R^N\)

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