EXISTENCE AND CONCENTRATION OF SOLUTION FOR A NON-LOCAL REGIONAL SCHRÖDINGER EQUATION WITH COMPETING POTENTIALS

DOI10.1017/S0017089518000289zbMath1435.35136arXiv1611.02056OpenAlexW2964332881MaRDI QIDQ5235137

Claudianor Oliveira Alves, César E. Torres Ledesma

Publication date: 7 October 2019

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.02056

zbMATH Keywords

fractional Laplacianconcentrationnonlocal regional Schrödinger equation

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Fractional partial differential equations (35R11)

Related Items (3)

Existence and concentration of ground states for a Choquard equation with competing potentials ⋮ Existence, multiplicity and concentration for a class of fractional \( p \& q \) Laplacian problems in \( \mathbb{R} ^{N} \) ⋮ Existence of solutions for critical Fractional FitzHugh–Nagumo type systems

Cites Work

• Nonlinear Dirichlet problem with non local regional diffusion
• Concentration phenomenon for fractional nonlinear Schrödinger equations
• Radial symmetry of ground states for a regional fractional nonlinear Schrödinger equation
• Non-linear Schrödinger equation with non-local regional diffusion
• Reflected symmetric \(\alpha\)-stable processes and regional fractional Laplacian
• Integration by parts formula for regional fractional Laplacian
• Minimax theorems
• Concentrating solutions of nonlinear fractional Schrödinger equation with potentials
• Concentrating standing waves for the fractional nonlinear Schrödinger equation
• A class of integral equations and approximation of \(p\)-Laplace equations
• Existence and multiplicity solutions of fractional Schrödinger equation with competing potential functions
• 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
• Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
• Symmetric ground state solution for a non-linear Schrödinger equation with non-local regional diffusion
• Multiplicity and symmetry results for a nonlinear Schrödinger equation with non‐local regional diffusion

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