Existence of Multiple Positive Solutions for -△u=λu+u(N+2)/(N-2)+μf(x)

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作者：
邓引斌
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来源：
Acta Mathematica Sinica,English Series | 1993年 / 03期
关键词：
Existence of Multiple Positive Solutions for; N-2; u+u; N+2;
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摘要：
In this paper,we discuss the existence and nonexistence of solutions for the problem-△u=λu+u(N-2)/(N+3)+μf(x),u>0 in Ω u丨(?)Ω=0,n>2. ((*))where Ω is a bounded smoothness domain in R~N,λ∈R~1,μ≥0,f(x)is a given non-negativefunction.Some interesting results have been obtained.
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页码：311 / 320
页数：10
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  • [1] THE EXISTENCE AND NODAL CHARACTER OF THE SOLUTIONS IN R~n FOR SEMILINEAR ELLIPTIC EQUATION INVOLVING CRITICAL SOBOLEV EXPONENT[J]. 邓引斌.Acta Mathematica Scientia. 1989(04)
  • [2] Existence of multiple positive solutions of inhomogeneous semilinear elliptic problems in unbounded domains[J] . Xi-Ping Zhu,Huan-Song Zhou.Proceedings of the Royal Society of Edinburgh: Se . 1990 (3-4)
  • [3] Nonlinear scalar field equations, I existence of a ground state[J] . H. Berestycki,P. -L. Lions.Archive for Rational Mechanics and Analysis . 1983 (4)
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