EIGENFUNCTIONS OF THE NONLINEAR ELLIPTIC EQUATION WITH CRITICAL EXPONENT IN R2

数学物理学报(英文版) ›› 1993, Vol. 13 ›› Issue (1): 74-88.

EIGENFUNCTIONS OF THE NONLINEAR ELLIPTIC EQUATION WITH CRITICAL EXPONENT IN R²

曹道珉, 张正杰

Inst. of Math. Sci., Academia Sinica, Wuhan 430071, China

收稿日期:1991-07-05 出版日期:1993-03-25 发布日期:1993-03-25

EIGENFUNCTIONS OF THE NONLINEAR ELLIPTIC EQUATION WITH CRITICAL EXPONENT IN R²

Cao Daomin, Zhang Zhangjie

Inst. of Math. Sci., Academia Sinica, Wuhan 430071, China

Received:1991-07-05 Online:1993-03-25 Published:1993-03-25

摘要/Abstract

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.

EIGENFUNCTIONS OF THE NONLINEAR ELLIPTIC EQUATION WITH CRITICAL EXPONENT IN R²

EIGENFUNCTIONS OF THE NONLINEAR ELLIPTIC EQUATION WITH CRITICAL EXPONENT IN R²

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