A critical Kirchhoff type problem involving the fractional Laplacian in
From MaRDI portal
Publication:4685490
DOI10.1080/17476933.2017.1332050zbMath1402.35308OpenAlexW2729862822MaRDI QIDQ4685490
Xia Zhang, Binlin Zhang, Mingqi Xiang
Publication date: 9 October 2018
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476933.2017.1332050
mountain pass theoremcritical exponentintegro-differential operatorsfractional \(p\)-Kirhhoff equations
Variational methods applied to PDEs (35A15) Weak solutions to PDEs (35D30) Integro-differential operators (47G20) Fractional partial differential equations (35R11)
Related Items
Ground state solutions for fractional Schrödinger–Choquard–Kirchhoff type equations with critical growth, Ekeland's variational principle for a nonlocal \(p\)-Kirchhoff type eigenvalue problem, On critical Schrödinger-Kirchhoff-type problems involving the fractional \(p\)-Laplacian with potential vanishing at infinity, On multiplicity solutions for a non-local fractional p-Laplace equation, A remark on fractionalp–Kirchhoff problems involving multiple zeros, Existence of solutions to some fractional equations involving the Bessel operator in $\mathbb R^N$
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence results for fractional \(p\)-Laplacian problems via Morse theory
- Critical stationary Kirchhoff equations in \(\mathbb R^N\) involving nonlocal operators
- Existence and concentration result for the Kirchhoff type equations with general nonlinearities
- Hitchhiker's guide to the fractional Sobolev spaces
- Existence of solutions for Kirchhoff type problem involving the non-local fractional \(p\)-Laplacian
- Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity
- Fractional Laplacian equations with critical Sobolev exponent
- Multiplicity results for elliptic fractional equations with subcritical term
- \(p\)-fractional Kirchhoff equations involving critical nonlinearities
- Multiplicity of solutions for \(p(x)\)-polyharmonic elliptic Kirchhoff equations
- 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
- Existence of solutions for perturbed fractional \(p\)-Laplacian equations
- Functional analysis, Sobolev spaces and partial differential equations
- Fractional quantum mechanics and Lévy path integrals
- Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument
- Higher nonlocal problems with bounded potential
- Dual variational methods in critical point theory and applications
- Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
- On a \(p\)-Kirchhoff problem involving a critical nonlinearity
- Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
- Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
- Fractional eigenvalues
- A critical Kirchhoff type problem involving a nonlocal operator
- Infinitely many solutions for the stationary Kirchhoff problems involving the fractionalp-Laplacian
- Non-local Diffusions, Drifts and Games
- Superlinear nonlocal fractional problems with infinitely many solutions
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Variational Methods for Nonlocal Fractional Problems
- Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
- Multiplicity results for the non-homogeneous fractional p -Kirchhoff equations with concave–convex nonlinearities
- The Brezis-Nirenberg result for the fractional Laplacian
