CONTINUOUS DEPENDENCE OF SOLUTIONS FOR INDEFINITE SEMILINEAR ELLIPTIC PROBLEMS

被引：0
|
作者：
Silva, Elves A. B. [1 ]
Silva, Maxwell L. [2 ]
机构：
[1] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil
[2] Univ Fed Goias, Inst Matemat & Estatist, BR-74001970 Goiania Go, Brazil
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年
关键词：
Positive solution; constrained minimization; eigenvalue problem; Neumann boundary condition; unique continuation; UNIQUE CONTINUATION; POSITIVE SOLUTIONS; EQUATIONS; NONLINEARITIES; EIGENVALUES;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the superlinear elliptic problem -Delta u + m(x)u = a(x)u(p) in a bounded smooth domain under Neumann boundary conditions, where m is an element of L-sigma (Omega), sigma >= N/2 and a is an element of C ((Omega) over bar) is a sign changing function. Assuming that the associated first eigenvalue of the operator -Delta + m is zero, we use constrained minimization methods to study the existence of a positive solution when (m) over cap is a suitable perturbation of m.
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页数：17
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