Existence and multiple solutions for the critical fractional p‐Kirchhoff type problems involving sign‐changing weight functions
DOI10.1002/MMA.8189OpenAlexW4220894018MaRDI QIDQ6071005
Senli Liu, Haibo Chen, Jie Yang
Publication date: 27 November 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8189
critical Sobolev exponentfractional \(p\)-Laplace operatorKrasnoselskii genusKirchhoff-type problems
Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)
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Cites Work
- Unnamed Item
- Existence and multiplicity results for fractional \(p\)-Kirchhoff equation with sign changing nonlinearities
- Optimal decay of extremals for the fractional Sobolev inequality
- Hitchhiker's guide to the fractional Sobolev spaces
- Nontrivial solutions for Kirchhoff-type problems with a parameter
- The Brezis-Nirenberg problem for the fractional \(p\)-Laplacian
- The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions
- Combined effects of concave and convex nonlinearities in some elliptic problems
- The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
- Multiple solutions for a Kirchhoff-type problem involving nonlocal fractional \(p\)-Laplacian and concave-convex nonlinearities
- On the variational principle
- Soliton solutions to Kirchhoff type problems involving the critical growth in \(\mathbb R^N\)
- Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument
- Ground states for nonlinear Kirchhoff equations with critical growth
- Existence of multiple solutions of \(p\)-fractional Laplace operator with sign-changing weight function
- Dual variational methods in critical point theory and applications
- Multiple positive solutions for the critical Kirchhoff type problems involving sign-changing weight functions
- Positive solutions for Kirchhoff-type equations with critical exponent in \(\mathbb{R}^N\)
- A nonhomogeneous fractional \(p\)-Kirchhoff type problem involving critical exponent in \(\mathbb{R}^N\)
- Existence, multiplicity and concentration for a class of fractional \( p \& q \) Laplacian problems in \( \mathbb{R} ^{N} \)
- On a \(p\)-Kirchhoff problem involving a critical nonlinearity
- Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
- A critical Kirchhoff type problem involving a nonlocal operator
- Multiple positive solutions for indefinite semilinear elliptic problems involving a critical Sobolev exponent
- Concentrating Bound States for Kirchhoff Type Problems in ℝ3 Involving Critical Sobolev Exponents
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
- Positive solutions for the p-Laplacian: application of the fibrering method
- Fractional Kirchhoff problem with critical indefinite nonlinearity
- The Brezis-Nirenberg result for the fractional Laplacian
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