Biharmonic problem with indefinite asymptotically linear nonlinearity

被引：0

作者：

Alnaser, Laila A. ^{[1
]}

Dammak, Makkia ^{[1
]}

机构：

[1] Taibah Univ, Coll Sci, Dept Math, Al Madinah Al Munawarah, Saudi Arabia

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE | 2021年 / 16卷 / 04期

关键词：

Elliptic problem; nonnegative weight function; variational method; indefinite nonlinearity; EQUATIONS; CONVEX;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, boundary fourth order semilinear elliptic problems involving nonnegative weight functions are investigated with indefinite asymptotically linear nonlinearities. Using the variational method, we prove the existence of nontrivial solutions without use of the Ambrosetti-Rabionovitz condition or any one of its replacements. When the nonlinearities are superlinear at infinity, a suitable condition is added in order to use the same techniques to prove the existence of solutions.

引用

页码：1355 / 1370

页数：16

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