Multiplicity results for semilinear heterogeneous problems in exterior domains of R2 involving subcritical or critical nonlinearities ala Trudinger-Moser

被引：1

作者：

Costa, D. G. ^{[1
]}

Tehrani, H. ^{[1
]}

机构：

[1] Univ Nevada Las Vegas, Dept Math Sci, POB 454020, Las Vegas, NV 89154 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 510卷 / 01期

关键词：

Exterior domain; R-2; Subcritical growth; Critical growth; Trudinger-Moser; ELLIPTIC-EQUATIONS; REGULARITY; H-1;

D O I：

10.1016/j.jmaa.2022.125987

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let Omega be an exterior domain in R-2. We prove some multiplicity results, in the Beppo-Levi space, for solutions to the following boundary value problem -Delta u = b(x)f(u) in Omega, u = 0 on partial derivative Omega, where the nonnegative coefficient b(x) satisfies a suitable integrability assumption and the C-1 nonlinearity f: R -> R is superlinear at zero and infinity and has subcritical or critical growth at infinity in the sense of Trudinger-Moser. (C) 2022 Elsevier Inc. All rights reserved.

引用

页数：21

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