Positive solutions with high energy for fractional Schrödinger equations
From MaRDI portal
Publication:6159424
DOI10.1007/s10473-023-0308-zzbMath1524.35237MaRDI QIDQ6159424
Publication date: 5 May 2023
Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)
Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)
- Hitchhiker's guide to the fractional Sobolev spaces
- Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities
- Symmetry of solutions to nonlocal nonlinear boundary value problems in radial sets
- A direct method of moving planes for the fractional Laplacian
- On fractional Schrödinger equations in \({\mathbb R}^N\) without the Ambrosetti-Rabinowitz condition
- Least energy solutions for nonlinear Schrödinger equation involving the fractional Laplacian and critical growth
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- On a min-max procedure for the existence of a positive solution for certain scalar field equations in \({\mathbb{R}}^ N\)
- Positive solutions of some nonlinear elliptic problems in exterior domains
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Uniqueness and related analytic properties for the Benjamin-Ono equation -- A nonlinear Neumann problem in the plane
- On a class of nonlinear Schrödinger equations
- The effect of concentrating potentials in some singularly perturbed problems
- Fractional quantum mechanics and Lévy path integrals
- Nonlinear fractional magnetic Schrödinger equation: existence and multiplicity
- Mountain pass solutions for the fractional Berestycki-Lions problem
- Minimax theorems
- Uniqueness and nondegeneracy of positive solutions of \((-\Delta )^su+u= u^p\) in \(\mathbb R^N\) when s is close to 1
- Equations involving fractional Laplacian operator: compactness and application
- On a fractional Nirenberg problem. I: Blow up analysis and compactness of solutions
- Existence and concentration of solution for a class of fractional elliptic equation in \(\mathbb {R}^N\) via penalization method
- Positive solutions for some non-autonomous Schrödinger-Poisson systems
- Uniqueness of Radial Solutions for the Fractional Laplacian
- A NOTE ON THE EXISTENCE OF A GROUND STATE SOLUTION TO A FRACTIONAL SCHRÖDINGER EQUATION
- Bound state for the fractional Schrödinger equation with unbounded potential
- 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
- Overdetermined problems with fractional laplacian
- Positive solution and bifurcation from the essential spectrum of a semilinear elliptic equation on Rn
- Variational Methods for Nonlocal Fractional Problems
- Ground states for fractional Schrödinger equations with critical growth
- 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
- Ground states for fractional Schrödinger equations with critical growth
- An Extension Problem Related to the Fractional Laplacian