High perturbations of a new Kirchhoff problem involving the \(p\)-Laplace operator

DOI10.1186/s13661-021-01566-xzbMath1489.35124OpenAlexW3217320409MaRDI QIDQ2126852

Zhongyi Zhang, Yueqiang Song

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-021-01566-x

zbMATH Keywords

existencevariational methods\(p\)-Laplace operatorKirchhoff-type equation

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Related Items (1)

Positive solution for a nonlocal problem with strong singular nonlinearity

Cites Work

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• Multiple solutions for critical Choquard-Kirchhoff type equations
• On a hybrid spectral exponential Chebyshev method for time-fractional coupled Burgers equations on a semi-infinite domain
• Strong convergence in the \(p\)th-mean of an averaging principle for two-time-scales SPDEs with jumps
• Soliton solutions to Kirchhoff type problems involving the critical growth in \(\mathbb R^N\)
• High perturbations of critical fractional Kirchhoff equations with logarithmic nonlinearity
• Superlinear Kirchhoff-type problems of the fractional \(p\)-Laplacian without the (AR) condition
• Existence of positive solutions for nonlocal problems with indefinite nonlinearity
• Least-energy nodal solutions of critical Kirchhoff problems with logarithmic nonlinearity
• Existence and multiplicity of nontrivial solutions for a nonlocal problem
• Dual variational methods in critical point theory and applications
• Existence and multiplicity results for a new \(p(x)\)-Kirchhoff problem
• Existence and non-existence results for Kirchhoff-type problems with convolution nonlinearity
• Editorial. Progress in nonlinear Kirchhoff problems
• Infinitely many sign-changing solutions for Kirchhoff type problems in \(\mathbb{R}^3\)
• Multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type with critical exponent
• Multiplicity of solutions for the noncooperative Schrödinger-Kirchhoff system involving the fractional \(p\)-Laplacian in \({\mathbb {R}}^N\)
• Existence of solutions for Kirchhoff type problems with critical nonlinearity in \(\mathbb R^3\)
• Existence and multiplicity of solutions for fourth-order elliptic equations of Kirchhoff type with critical growth in ℝN
• Variational Methods for Nonlocal Fractional Problems

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