Multiple high energy solutions for fractional Schrödinger equation with critical growth
From MaRDI portal
Publication:2062979
DOI10.1007/s00526-021-02122-2zbMath1481.35144OpenAlexW4200166519WikidataQ114228990 ScholiaQ114228990MaRDI QIDQ2062979
Publication date: 3 January 2022
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-021-02122-2
Critical exponents in context of PDEs (35B33) Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)
Related Items (5)
A fractional critical problem with shifting subcritical perturbation ⋮ Existence and multiplicity results for fractional Schrödinger equation with critical growth ⋮ A coupled Hartree system with Hardy-Littlewood-Sobolev critical exponent: existence and multiplicity of high energy positive solutions ⋮ Bound states of fractional Choquard equations with Hardy-Littlewood-Sobolev critical exponent ⋮ Multiple positive bound state solutions for fractional Schrödinger-Poisson system with critical growth
Cites Work
- Hitchhiker's guide to the fractional Sobolev spaces
- Least energy solutions for nonlinear Schrödinger equation involving the fractional Laplacian and critical growth
- Infinitely many solutions for the Schrödinger equations in \(\mathbb R^N\) with critical growth
- Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)
- Construction of solutions via local Pohozaev identities
- Existence of positive solution of the equation \((-\Delta )^{s}u+a(x)u=|u|^{2^{*}_{s}-2}u\)
- Existence of positive solutions for a problem with lack of compactness involving the \(p\)-Laplacian
- Minimax theorems
- Multiple positive bound state solutions for a critical Choquard equation
- Solutions for fractional Schrödinger equation involving critical exponent via local Pohozaev identities
- Local uniqueness and periodicity for the prescribed scalar curvature problem of fractional operator in \({\mathbb {R}}^{N}\)
- Constructing solutions for the prescribed scalar curvature problem via local Pohozaev identities
- Infinitely many solutions for cubic nonlinear Schrödinger equations in dimension four
- Solutions for conformally invariant fractional Laplacian equations with multi-bumps centered in lattices
- Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
- Fractional Elliptic Problems with Critical Growth in the Whole of ℝn
- Nonminimizing Positive Solutions for Equations with Critical Exponents in the Half-Space
- Positive solutions of a fourth-order semilinear problem involving critical growth
- Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
- Multiple positive bound states for critical Schrödinger-Poisson systems
- An Extension Problem Related to the Fractional Laplacian
- Variational Methods
- Classification of solutions for an integral equation
This page was built for publication: Multiple high energy solutions for fractional Schrödinger equation with critical growth