EXISTENCE OF NONTRIVIAL SOLUTION OF QUASILINEAR ELLIPTIC EIGENVALUE PROBLEM ON Rn WITH NATURAL GROWTH CONDITIONS

数学物理学报(英文版) ›› 1990, Vol. 10 ›› Issue (2): 121-134.

• 论文 • 下一篇

EXISTENCE OF NONTRIVIAL SOLUTION OF QUASILINEAR ELLIPTIC EIGENVALUE PROBLEM ON Rⁿ WITH NATURAL GROWTH CONDITIONS

严树森, 李工宝

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

收稿日期:1988-12-31 出版日期:1990-06-25 发布日期:1990-06-25
基金资助:
This work is supported by the Youth Foundation, NSFC.

EXISTENCE OF NONTRIVIAL SOLUTION OF QUASILINEAR ELLIPTIC EIGENVALUE PROBLEM ON Rⁿ WITH NATURAL GROWTH CONDITIONS

Yan Shusen, Li Gongbao

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

Received:1988-12-31 Online:1990-06-25 Published:1990-06-25
Supported by:
This work is supported by the Youth Foundation, NSFC.

摘要/Abstract

摘要： In this paper, we get the existence result of the nontrivial weak solution (λ, u) of the following eigenvalue problem
-D_i(a_ij(u)D_ju)+(1)/2a_iju(u)D_iuD_ju+hu=λ|u|^p-2u,x∈Rⁿ,u∈H¹(Rⁿ)∩L^∞(Rⁿ) with natural growth conditions.

严树森, 李工宝. EXISTENCE OF NONTRIVIAL SOLUTION OF QUASILINEAR ELLIPTIC EIGENVALUE PROBLEM ON Rⁿ WITH NATURAL GROWTH CONDITIONS[J]. 数学物理学报(英文版), 1990, 10(2): 121-134.

Yan Shusen, Li Gongbao. EXISTENCE OF NONTRIVIAL SOLUTION OF QUASILINEAR ELLIPTIC EIGENVALUE PROBLEM ON Rⁿ WITH NATURAL GROWTH CONDITIONS[J]. Acta mathematica scientia,Series B, 1990, 10(2): 121-134.

EXISTENCE OF NONTRIVIAL SOLUTION OF QUASILINEAR ELLIPTIC EIGENVALUE PROBLEM ON Rⁿ WITH NATURAL GROWTH CONDITIONS

EXISTENCE OF NONTRIVIAL SOLUTION OF QUASILINEAR ELLIPTIC EIGENVALUE PROBLEM ON Rⁿ WITH NATURAL GROWTH CONDITIONS

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 0

Metrics

本文评价

推荐阅读 10