Ground state solutions for a class of fractional Kirchhoff equations with critical growth
From MaRDI portal
Publication:2423865
DOI10.1007/s11425-017-9399-6zbMath1415.35121OpenAlexW2920937614MaRDI QIDQ2423865
Publication date: 20 June 2019
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-017-9399-6
critical Sobolev exponentground state solutionsfractional Kirchhoff equationsPohozaev-Nehari manifold
Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Fractional partial differential equations (35R11)
Related Items
A new approach to get solutions for Kirchhoff-type fractional Schrödinger systems involving critical exponents ⋮ Existence and asymptotics of normalized ground states for a Sobolev critical Kirchhoff equation ⋮ Properties of minimizers for the fractional Kirchhoff energy functional ⋮ On a fractional Kirchhoff type problem with critical exponential growth nonlinearity ⋮ Sign-changing solutions for fractional Kirchhoff-type equations with critical and supercritical nonlinearities ⋮ A Hopf type lemma and the symmetry of solutions for a class of Kirchhoff equations ⋮ A variational approach for Kirchhoff-Carrier type non-local equation boundary value problems ⋮ Existence and multiplicity of bound state solutions to a Kirchhoff type equation with a general nonlinearity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Critical stationary Kirchhoff equations in \(\mathbb R^N\) involving nonlocal operators
- An existence result for fractional Kirchhoff-type equations
- On some critical problems for the fractional Laplacian operator
- Hitchhiker's guide to the fractional Sobolev spaces
- Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity
- Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities
- \(p\)-fractional Kirchhoff equations involving critical nonlinearities
- Multiplicity results for elliptic Kirchhoff-type problems
- Sequences of weak solutions for fractional equations
- A global compactness result for elliptic boundary value problems involving limiting nonlinearities
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
- Standing waves for a class of Kirchhoff type problems in \(\mathbb R^3\) involving critical Sobolev exponents
- Existence of a positive solution to Kirchhoff problems involving the fractional Laplacian
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- On a class of nonlinear Schrödinger equations
- Global solvability for the degenerate Kirchhoff equation with real analytic data
- Fractional quantum mechanics and Lévy path integrals
- Minimax theorems
- Existence of solutions for a Kirchhoff-type-nonlocal operators of elliptic type
- Concentrating standing waves for the fractional nonlinear Schrödinger equation
- On doubly nonlocal fractional elliptic equations
- Ground states for fractional Kirchhoff equations with critical nonlinearity in low dimension
- Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
- Positive solutions for a quasilinear elliptic equation of Kirchhoff type
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson system with critical Sobolev exponent
- A critical Kirchhoff type problem involving a nonlocal operator
- Critical and subcritical fractional problems with vanishing potentials
- A concave—convex elliptic problem involving the fractional Laplacian
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Existence and symmetry results for a Schr\"odinger type problem involving the fractional Laplacian
- Fractional Elliptic Problems with Critical Growth in the Whole of ℝn
- A multiplicity result for a fractional Kirchhoff equation in ℝN with a general nonlinearity
- On a fractional degenerate Kirchhoff-type problem
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Variational Methods for Nonlocal Fractional Problems
- The local regularity of solutions of degenerate elliptic equations
- On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
- Some remarks on non local elliptic and parabolic problems
- A positive solution for a nonlinear Schroedinger equation on R^N
- On the Well-Posedness of the Kirchhoff String
- Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- An Extension Problem Related to the Fractional Laplacian
- The Brezis-Nirenberg result for the fractional Laplacian
