Multiplicity and concentration of solutions for fractional Schrödinger systems via penalization method
From MaRDI portal
Publication:2335822
DOI10.4171/RLM/860zbMath1433.35066arXiv1704.00604MaRDI QIDQ2335822
Publication date: 15 November 2019
Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.00604
Variational methods applied to PDEs (35A15) Variational methods for elliptic systems (35J50) Fractional partial differential equations (35R11)
Related Items (6)
Semiclassical states for non-cooperative singularly perturbed fractional Schrödinger systems ⋮ Multiplicity of localized solutions of nonlinear Schrödinger systems for infinite attractive case ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On multiplicity and concentration behavior of solutions for a critical system with equations in divergence form ⋮ Existence and multiplicity of positive solutions to fractional Laplacian systems with combined critical Sobolev terms
Cites Work
- A multiplicity result via Ljusternick-Schnirelmann category and Morse theory for a fractional Schrödinger equation in \(\mathbb{R}^N\)
- On the uniqueness of solutions of a nonlocal elliptic system
- Radial symmetry results for fractional Laplacian systems
- Hitchhiker's guide to the fractional Sobolev spaces
- Multiple solutions for critical elliptic systems via penalization method.
- Multiplicity of solutions for elliptic systems via local mountain pass method
- On a class of nonlinear Schrödinger equations
- Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology
- Symmetry results for semilinear elliptic systems in the whole space
- Fractional quantum mechanics and Lévy path integrals
- A multiplicity result for a nonlinear fractional Schrödinger equation in \(\mathbb{R}^N\) without the Ambrosetti-Rabinowitz condition
- Multiplicity of positive solutions for a class of fractional Schrödinger equations via penalization method
- Multiplicity and concentration results for a fractional Choquard equation via penalization method
- Sign-changing solutions for a class of Schrödinger equations with vanishing potentials
- On concentration of positive bound states of nonlinear Schrödinger equations
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Dual variational methods in critical point theory and applications
- On strongly indefinite systems involving the fractional Laplacian
- Concentrating standing waves for the fractional nonlinear Schrödinger equation
- Existence and concentration of positive solutions for a class of gradient systems
- Multiple solutions of nonlinear elliptic systems
- Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
- Multiple positive solutions for a quasilinear system of Schrödinger equations
- Existence and concentration of solution for a class of fractional elliptic equation in \(\mathbb {R}^N\) via penalization method
- Local mountain pass for a class of elliptic system
- Uniqueness of Radial Solutions for the Fractional Laplacian
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Fractional Elliptic Problems with Critical Growth in the Whole of ℝn
- Systems ofp-laplacean equations involving homogeneous nonlinearities with critical sobolev exponent degrees
- Concentration phenomena for a fractional Schrödinger‐Kirchhoff type equation
- Existence and multiplicity results for some superlinear elliptic problems on RN
- Ground states and concentration phenomena for the fractional Schrödinger equation
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- An Extension Problem Related to the Fractional Laplacian
This page was built for publication: Multiplicity and concentration of solutions for fractional Schrödinger systems via penalization method
