CRITICAL GROWTH ELLIPTIC PROBLEM IN R2 WITH SINGULAR DISCONTINUOUS NONLINEARITIES

被引：0

作者：

Dhanya, R. ^{[1
]}

Prashanth, S. ^{[1
]}

Sreenadh, K. ^{[2
]}

Tiwari, Sweta ^{[2
]}

机构：

[1] TIFR Ctr Applicable Math, Bangalore, Karnataka, India

[2] Indian Inst Technol Delhi, Dept Math, New Delhi 110016, India

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS | 2014年 / 19卷 / 5-6期

关键词：

MULTIPLE POSITIVE SOLUTIONS; EXISTENCE; EQUATIONS; CONCAVE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let Omega be a bounded domain in R-2 with smooth boundary, a > 0, lambda > 0 and 0 < delta < 3. We consider the following critical problem with singular and discontinuous nonlinearity: -Delta u = lambda(chi({u<a})u(-delta) + h(u)e(u2)) in Omega, u > 0 in Omega, u = 0 on partial derivative Omega, where chi is the characteristic function and h(u) is a smooth nonlinearity that is a "perturbation" of e(u2) as u -> infinity (for precise definitions, see hypotheses (H1) - (H5) in Section 1). With these assumptions we study the existence of multiple positive solutions to the above problem.

引用

页码：409 / 440

页数：32

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