Existence and multiplicity of solutions for a non-linear Schrödinger equation with non-local regional diffusion
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Publication:4599495
DOI10.1063/1.5011724zbMath1383.35205arXiv1611.02058OpenAlexW2551467224MaRDI QIDQ4599495
Claudianor Oliveira Alves, César E. Torres Ledesma
Publication date: 2 January 2018
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.02058
NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11)
Related Items (6)
Multiplicity of solutions for a class of nonlocal regional elliptic equations ⋮ Existence of solutions for critical Fractional FitzHugh–Nagumo type systems ⋮ A critical nonlinear elliptic equation with nonlocal regional diffusion ⋮ Existence of heteroclinic solutions for a class of problems involving the fractional Laplacian ⋮ Existence and multiplicity of positive solutions for a class of quasilinear Schrödinger equations in \(\mathbb{R}^N\) ⋮ Some existence results for a class of Euclidean bosonic equations
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