On a bi‐nonlocal p(x)‐Kirchhoff equation via Krasnoselskii's genus

DOI10.1002/MMA.3051zbMath1318.35030OpenAlexW2060477657MaRDI QIDQ5257905

Augusto César dos Reis Costa, Francisco Julio Sobreira de Araujo Correa

Publication date: 24 June 2015

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3051

zbMATH Keywords

\(p(x)\)-Laplace operatorSobolev space with variable exponentKrasnoselskii's genus

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (8)

On a fractional Kirchhoff-type equation via Krasnoselskii’s genus ⋮ Existence and multiplicity results for critical anisotropic Kirchhoff-type problems with nonlocal nonlinearities ⋮ Bi-nonlocal sixth order \(p(x)\)-problem with indefinite weight ⋮ Existence and multiplicity of solutions involving the \(p(x)\)-Laplacian equations: on the effect of two nonlocal terms ⋮ Multiple solutions for a class of bi-nonlocal problems with nonlinear Neumann boundary conditions ⋮ An elliptic equation under the effect of two nonlocal terms ⋮ Existence results for an anisotropic nonlocal problem involving critical and discontinuous nonlinearities ⋮ On a bi-nonlocal fourth order elliptic problem

Cites Work

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