EXISTENCE OF SOLUTIONS FOR SEMILINEAR ELLIPTIC-EQUATIONS WITH INDEFINITE LINEAR PART

被引：77
作者：
ALAMA, S
LI, YY
机构：
[1] PRINCETON UNIV,DEPT MATH,PRINCETON,NJ 08544
[2] INST ADV STUDY,SCH MATH,PRINCETON,NJ 08540
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 1992年 / 96卷 / 01期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1016/0022-0396(92)90145-D
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study equations on RN, Lu = W(x)u p -1 uLu = f(u), where L is an indefinite Schrödinger operator, 0 ≤ W(x) → 0 as× → ∞, and subcritical nonlinearities. We prove existence of solutions uε{lunate}H1(RN) via an inversion to a "dual" variational problem. © 1992.
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页码：89 / 115
页数：27
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