Positive and negative solutions for the nonlinear fractional Kirchhoff equation in \(\mathbb{R}^N \)
DOI10.1007/s42985-020-00030-2zbMath1455.35094OpenAlexW3082888574WikidataQ114216524 ScholiaQ114216524MaRDI QIDQ2218217
Publication date: 15 January 2021
Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s42985-020-00030-2
existencevariational methodEkeland's variational principlePohozaev identityfractional Kirchhoff equation
Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of multiple solutions of Kirchhoff type equation with sign-changing potential
- Ground state sign-changing solutions for Kirchhoff type problems in bounded domains
- The elliptic Kirchhoff equation in \(\mathbb {R}^{N}\) perturbed by a local nonlinearity.
- Multiple solutions for a class of fractional Schrödinger equations in \(\mathbb{R}^N\)
- On fractional Schrödinger equations in \({\mathbb R}^N\) without the Ambrosetti-Rabinowitz condition
- Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in \(\mathbb R^N\)
- Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
- Nontrivial solutions of Kirchhoff-type problems via the Yang index
- Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
- Semilinear elliptic equations with dependence on the gradient via mountain-pass techniques.
- Fractional quantum mechanics and Lévy path integrals
- Nehari-type ground state solutions for asymptotically periodic fractional Kirchhoff-type problems in \(\mathbb{R}^{N}\)
- Ground state of Kirchhoff type fractional Schrödinger equations with critical growth
- Local conditions insuring bifurcation from the continuous spectrum
- Positive and negative solutions for a class of Kirchhoff type problems on unbounded domain
- Hölder continuity of velocity gradients for shear-thinning fluids under perfect slip boundary conditions
- A critical Kirchhoff type problem involving a nonlocal operator
- From the long jump random walk to the fractional Laplacian
- Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations
- On the Well-Posedness of the Kirchhoff String
- $\Gamma$-Limit of a Phase-Field Model of Dislocations
This page was built for publication: Positive and negative solutions for the nonlinear fractional Kirchhoff equation in \(\mathbb{R}^N \)
