摘要: We consider the following eigenvalue problem:
-△u=μ(f(x,u)-u) (μ,u)∈R1×H1(R2) x∈R2
Where f(x, t) is a continuous function with critical growth. We prove the existence of nontrivial solutions.
曹道珉, 张正杰. EIGENFUNCTIONS OF THE NONLINEAR ELLIPTIC EQUATION WITH CRITICAL EXPONENT IN R2[J]. 数学物理学报(英文版), 1993, 13(1): 74-88.
Cao Daomin, Zhang Zhangjie. EIGENFUNCTIONS OF THE NONLINEAR ELLIPTIC EQUATION WITH CRITICAL EXPONENT IN R2[J]. Acta mathematica scientia,Series B, 1993, 13(1): 74-88.