Infinitely many solutions for the stationary fractional \(p\)-Kirchhoff problems in \(\mathbb{R}^N\)

DOI10.1007/s12044-019-0515-7zbMath1423.35386OpenAlexW2966068783MaRDI QIDQ2274782

Ebubekir Akkoyunlu, Rabil Ayazoglu (Mashiyev)

Publication date: 1 October 2019

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-019-0515-7

zbMATH Keywords

variational methodsKirchhoff equationinfinitely many solutionsfractional \(p\)-LaplacianKrasnoselskii's genus

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Integro-differential operators (47G20) Fractional partial differential equations (35R11)

Related Items (3)

On a class of fractional p (⋅,⋅)−Laplacian problems with sub-supercritical nonlinearities ⋮ Existence and multiplicity of solutions for a Schrödinger-Kirchhoff type equation involving the fractional \(p(.,.)\)-Laplacian operator in \(\mathbb{R}^N\) ⋮ Infinitely many solutions for a new class of Schrödinger-Kirchhoff type equations in \(\mathbb{R}^N\) involving the fractional \(p\)-Laplacian

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence results for fractional \(p\)-Laplacian problems via Morse theory
• Existence and symmetry of solutions for critical fractional Schrödinger equations with bounded potentials
• Existence theorems for entire solutions of stationary Kirchhoff fractional \(p\)-Laplacian equations
• Hitchhiker's guide to the fractional Sobolev spaces
• Multiplicity results for elliptic fractional equations with subcritical term
• New existence of multiple solutions for nonhomogeneous Schrödinger-Kirchhoff problems involving the fractional \(p\)-Laplacian with sign-changing potential
• Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
• Ground state solutions of scalar field fractional Schrödinger equations
• Entire solutions for critical \(p\)-fractional Hardy Schrödinger Kirchhoff equations
• On a degenerate \(p\)-fractional Kirchhoff equations involving critical Sobolev-Hardy nonlinearities
• On doubly nonlocal fractional elliptic equations
• Multiplicity of solutions for the noncooperative Schrödinger-Kirchhoff system involving the fractional \(p\)-Laplacian in \({\mathbb {R}}^N\)
• Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
• Multiplicity of solutions for a class of quasilinear Kirchhoff system involving the fractionalp-Laplacian
• Existence and multiplicity results for infinitely many solutions for Kirchhoff-type problems in RN
• On a fractional Kirchhoff-type equation via Krasnoselskii’s genus
• Weak solutions for a fractionalp-Laplacian equation with sign-changing potential
• NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• A bifurcation result for non-local fractional equations
• Existence and multiplicity of solutions for fractionalp-Laplacian Schrödinger–Kirchhoff type equations
• Multiple solutions for a fractional $p$-Laplacian equation with sign-changing potential

This page was built for publication: Infinitely many solutions for the stationary fractional \(p\)-Kirchhoff problems in \(\mathbb{R}^N\)