On the uniform vanishing property at infinity of Ws,p-sequences

被引：3

作者：

Ambrosio, Vincenzo ^{[1
]}

机构：

[1] Univ Politecn Marche, Dipartimento Ingn Ind & Sci Matemat, Via Brecce Bianche 12, I-60131 Ancona, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2024年 / 238卷

关键词：

W s; p-spaces; Uniform vanishing at infinity; Fractional operators; WEAK SOLUTIONS; MULTIPLICITY; REGULARITY;

D O I：

10.1016/j.na.2023.113398

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that sequences of functions (un) subset of Ws,p(RN), with s is an element of (0, 1) and Np p is an element of (1, Ns ), bounded in Ws,p(RN), strongly convergent in LN-sp (RN) and solving nonlinear fractional p-Laplacian Schrodinger equations in RN, must vanish at infinity uniformly with respect to n is an element of N. (c) 2023 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

引用

页数：17

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