Infinitely Many Solutions for the Fractional Nonlinear Schrödinger Equations of a New Type
From MaRDI portal
Publication:5089520
DOI10.4208/jpde.v35.n3.5OpenAlexW4283706845WikidataQ114021161 ScholiaQ114021161MaRDI QIDQ5089520
Publication date: 19 July 2022
Published in: Journal of Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/jpde.v35.n3.5
Singular perturbations in context of PDEs (35B25) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)
Cites Work
- Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)
- On some critical problems for the fractional Laplacian operator
- Hitchhiker's guide to the fractional Sobolev spaces
- A critical fractional equation with concave-convex power nonlinearities
- Infinitely many positive and sign-changing solutions for nonlinear fractional scalar field equations
- The Brezis-Nirenberg type problem involving the square root of the Laplacian
- A Harnack inequality for fractional Laplace equations with lower order terms
- Infinitely many non-radial solutions for the prescribed curvature problem of fractional operator
- Infinitely many solutions for the prescribed scalar curvature problem on \(\mathbb S^N\)
- Positive solutions of nonlinear problems involving the square root of the Laplacian
- The fractional Brezis-Nirenberg problems on lower dimensions
- Existence and nonexistence results for critical growth fractional elliptic systems
- Construct new type solutions for the fractional Schrödinger equation
- Equations involving fractional Laplacian operator: compactness and application
- Concentrating standing waves for the fractional nonlinear Schrödinger equation
- Infinitely many positive solutions for the nonlinear Schrödinger equations in \(\mathbb R^N\)
- Solutions for conformally invariant fractional Laplacian equations with multi-bumps centered in lattices
- On a fractional Nirenberg problem. I: Blow up analysis and compactness of solutions
- Uniqueness of Radial Solutions for the Fractional Laplacian
- A concave—convex elliptic problem involving the fractional Laplacian
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Structure of a quantized vortex in boson systems
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Lévy Processes and Stochastic Calculus
- An Extension Problem Related to the Fractional Laplacian