Positive solutions for a critical \(p\)-Laplacian problem with a Kirchhoff term

DOI10.1016/J.CAMWA.2018.12.021zbMath1442.35122OpenAlexW2906622560MaRDI QIDQ2203929

Xiao-Feng Ke, Jia-Feng Liao, Jiu Liu

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.12.021

zbMATH Keywords

critical exponentvariational methodanalysis techniqueinfinitely many positive solutions\(p\)-Laplacian problem

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (3)

Existence and multiplicity of positive solutions to a \(p\)-Kirchhoff-type equation ⋮ Sign-changing solutions to a \(N\)-Kirchhoff equation with critical exponential growth in \(\mathbb{R}^N\) ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Multiplicity of solutions for elliptic problems of \(p\)-Kirchhoff type with critical exponent
• The elliptic Kirchhoff equation in \(\mathbb {R}^{N}\) perturbed by a local nonlinearity.
• Existence of solution to \(p\)-Kirchhoff type problem in \(\mathbb R^N\) via Nehari manifold
• Existence, multiplicity, and nonexistence of solutions for a \(p\)-Kirchhoff elliptic equation on \(\mathbb{R}^{N}\)
• On ground state solutions for a Kirchhoff type equation with critical growth
• Multiplicity of positive solutions for some quasilinear elliptic equations in \(\mathbb{R}^N\) with critical Sobolev exponent
• Existence and multiplicity of solutions for critical Kirchhoff-type \(p\)-Laplacian problems
• Existence and multiplicity of solutions for a nonlocal problem with critical Sobolev exponent
• Multiplicity of positive solutions for the Kirchhoff-type equations with critical exponent in \(\mathbb R^N\)
• On the nonlinear Timoshenko-Kirchhoff beam equation
• Existence of positive ground state solutions for a critical Kirchhoff type problem with sign-changing potential
• Multiplicity of positive solutions for a class of critical Sobolev exponent problems involving Kirchhoff-type nonlocal term
• Existence and multiplicity of solutions for a superlinear Kirchhoff-type equations with critical Sobolev exponent in \(\mathbb R^N\)
• Dual variational methods in critical point theory and applications
• A strong maximum principle for some quasilinear elliptic equations
• Positive solutions for Kirchhoff-type equations with critical exponent in \(\mathbb{R}^N\)
• A nonhomogeneous fractional \(p\)-Kirchhoff type problem involving critical exponent in \(\mathbb{R}^N\)
• Multiple positive solutions to a Kirchhoff type problem involving a critical nonlinearity in \(\mathbb{R}^3\)
• Positive solutions for a quasilinear elliptic equation of Kirchhoff type
• Classification of positive \(\mathcal{D}^{1, p}(\mathbb{R}^N)\)-solutions to the critical \(p\)-Laplace equation in \(\mathbb{R}^N\)
• Infinitely many solutions forp-Kirchhoff equation with concave-convex nonlinearities in RN
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Positive solutions for p‐Kirchhoff type problems on
• On a class of nonlocal elliptic problems with critical growth
• A note on the elliptic Kirchhoff equation in ℝ^Nperturbed by a local nonlinearity

This page was built for publication: Positive solutions for a critical \(p\)-Laplacian problem with a Kirchhoff term