Existence of nontrivial solutions for Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian and local nonlinearity

DOI10.3934/math.2021083zbMath1484.35376OpenAlexW3102323587MaRDI QIDQ2131542

Liu Gao, Jian-Hua Chen, Chuan-Xi Zhu, Chun-Fang Chen

Publication date: 26 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021083

zbMATH Keywords

Kirchhoff equationsfractional \(p\)-LaplacianMoser iteration methodtruncation argumentlocal nonlinearity

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Fractional partial differential equations (35R11)

Cites Work

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• Hitchhiker's guide to the fractional Sobolev spaces
• Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
• Existence and multiplicity of solutions for Kirchhoff-type equation with radial potentials in \(\mathbb{R}^{3}\)
• Ground state of Kirchhoff type fractional Schrödinger equations with critical growth
• Minimax theorems
• Superlinear Schrödinger-Kirchhoff type problems involving the fractional \(p\)-Laplacian and critical exponent
• Supercritical fractional Kirchhoff type problems
• The concentration behavior of ground states for a class of Kirchhoff-type problems with Hartree-type nonlinearity
• Ground state solutions for fractional \(p\)-Kirchhoff equation with subcritical and critical exponential growth
• Existence results for Schrödinger-Choquard-Kirchhoff equations involving the fractional \(p\)-Laplacian
• Existence and multiplicity of solutions for fractional Schrödinger-Kirchhoff equations with Trudinger-Moser nonlinearity
• Two positive solutions for the Kirchhoff type elliptic problem with critical nonlinearity in high dimension
• Sign-changing solutions for the stationary Kirchhoff problems involving the fractional Laplacian in \(\mathbb{R}^N\)
• Infinitely many solutions for a fractional Kirchhoff type problem via fountain theorem
• Fractional Kirchhoff equation with a general critical nonlinearity
• Existence of positive solutions for supercritical quasilinear Schrödinger elliptic equations
• A fractional Kirchhoff problem involving a singular term and a critical nonlinearity
• Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
• Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
• A critical Kirchhoff type problem involving a nonlocal operator
• Variational Methods for Nonlocal Fractional Problems
• Multiplicity results for a class of superlinear elliptic problems
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• Existence and multiplicity of solutions for fractionalp-Laplacian Schrödinger–Kirchhoff type equations
• Existence of nontrivial solutions for Schrödinger‐Kirchhoff type equations with critical or supercritical growth
• An Extension Problem Related to the Fractional Laplacian
• The Brezis-Nirenberg result for the fractional Laplacian

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