Existence of sign-changing solutions for a nonlocal problem of \(p\)-Kirchhoff type

DOI10.1007/s00009-017-0987-6zbMath1377.35106OpenAlexW2748070915MaRDI QIDQ1679404

H. Fani, Sayyed Hashem Rasouli, Somayeh Khademloo

Publication date: 9 November 2017

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-017-0987-6

zbMATH Keywords

\(p\)-Laplaciansign-changing solutions\(p\)-Kirchhoff-type equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50)

Related Items (11)

Existence and uniqueness of positive solution for \(p\)-Laplacian Kirchhoff-Schrödinger-type equation ⋮ On fractional regularity methods for a class of nonlocal problems ⋮ Existence of constant sign and nodal solutions for a class of (p,q)-Laplacian-Kirchhoff problems ⋮ Sign-changing solutions for Kirchhoff weighted equations under double exponential nonlinearities growth ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Sign-changing solutions to a \(N\)-Kirchhoff equation with critical exponential growth in \(\mathbb{R}^N\) ⋮ The existence of the sign-changing solutions for the Kirchhoff-Schrödinger-Poisson system in bounded domains ⋮ Existence of sign-changing solutions for \(p(x)\)-Laplacian Kirchhoff type problem in \(\mathbb{R}^N\) ⋮ The sign-changing solutions for a class of p-Laplacian Kirchhoff type problem in bounded domains ⋮ The existence result for a class of \(p\)-Kirchhoff-type problem with a multilinear growth nonlinearity

Cites Work

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• Multiple positive solutions for Kirchhoff type of problems with singularity and critical exponents
• Signed and sign-changing solutions for a Kirchhoff-type equation in bounded domains
• Existence and asymptotic behavior of nodal solutions for the Kirchhoff-type problems in \(\mathbb{R}^3\)
• Existence and asymptotic behavior of sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb R^3\)
• Minimax theorems
• Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains
• Ground state solutions for an indefinite Kirchhoff type problem with steep potential well
• Bifurcation from simple eigenvalues

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