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Multiplicity of positive solutions for a class of fractional Schrödinger equations via penalization method

Annali di Matematica Pura ed Applicata, 2017
By using the penalization method and the Ljusternik–Schnirelmann theory, we investigate the multiplicity of positive solutions of the following fractional Schrödinger equation ε2s(-Δ)su+V(x)u=f(u)inRN\documentclass[12pt]{minimal} \usepackage{amsmath ...
V. Ambrosio
semanticscholar   +1 more source

Existence of positive solutions for a singular fractional boundary value problem

, 2017
We study the existence of positive solutions for a nonlinear Riemann–Liouville fractional differential equation with a sign-changing nonlinearity, subject to multi-point fractional boundary conditions.
J. Henderson, R. Luca
semanticscholar   +1 more source

On positive solutions of a semilinear equation

Journal of Mathematical Sciences, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
V. A. Nikishkin, V. A. Kondratiev
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ON POSITIVE SOLUTIONS OF ELLIPTIC EQUATIONS

Mathematics of the USSR-Sbornik, 1971
In this paper the authors study weak solutions of elliptic equations of the form in a bounded domain . It is assumed known about these solutions either that they are positive, or that estimates in certain norms hold for their negative parts. It is assumed moreover that an estimate on the -norm of the solution holds on some subdomain .
T G Pletneva   +2 more
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Regularity and positivity of the solution

2017
In this section we show a regularity result1 that allows us to say that a nonnegative solution to (2.1.1) is bounded.
María Medina   +2 more
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Symmetry-breaking at positive solutions

ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1987
Boundary value problems of the type \[ (*)\quad \Delta w(x)+f(w(x),\lambda)=0,\quad x\in \Omega;\quad w(x)=0,\quad x\in \partial \Omega, \] are considered, where \(f: {\mathbb{R}}\times {\mathbb{R}}\to {\mathbb{R}}\) is a smooth function, \(\Omega =\{x\in {\mathbb{R}}^ n\); \(\| x\| 0\) for all \(x\in \Omega\) then \(w_ 0\) is spherically symmetric. It
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Positive solutions for a Dirichlet problem

Acta Mathematicae Applicatae Sinica, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Existence and concentration of positive solutions for a Schrödinger logarithmic equation

Zeitschrift für Angewandte Mathematik und Physik, 2018
C. O. Alves, Daniel C. Morais Filho
semanticscholar   +1 more source

Solutions to positioning challenges [PDF]

open access: possible, 2016
Tony Williams, Peter Reilly
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