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2019 Nonlocal Schrödinger equations for integro-differential operators with measurable kernels
Ronaldo C. Duarte, Marco A. S. Souto
Topol. Methods Nonlinear Anal. 54(1): 383-406 (2019). DOI: 10.12775/TMNA.2019.056

Abstract

In this paper we investigate the existence of positive solutions for the problem $$ -\mathcal{L}_{K}u+V(x)u=f(u) $$% in $\mathbb R^N$, where $-\mathcal{L}_{K}$ is an integro-differential operator with measurable kernel $K$. Under apropriate hypotheses, we prove by variational methods that this equation has a nonnegative solution.

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Ronaldo C. Duarte. Marco A. S. Souto. "Nonlocal Schrödinger equations for integro-differential operators with measurable kernels." Topol. Methods Nonlinear Anal. 54 (1) 383 - 406, 2019. https://doi.org/10.12775/TMNA.2019.056

Information

Published: 2019
First available in Project Euclid: 22 July 2019

zbMATH: 07131290
MathSciNet: MR4018286
Digital Object Identifier: 10.12775/TMNA.2019.056

Rights: Copyright © 2019 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.54 • No. 1 • 2019
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