NONTRIVIAL SOLUTIONS OF QUASILINEAR ELLIPTIC EQUATIONS IN W01,p INVOLVING LIMITING NONLINEARITIES

数学物理学报(英文版) ›› 1987, Vol. 7 ›› Issue (3): 329-339.

NONTRIVIAL SOLUTIONS OF QUASILINEAR ELLIPTIC EQUATIONS IN W₀^1,p INVOLVING LIMITING NONLINEARITIES

李工宝

Dept. of Math., Wuhan University, Wuhan, China

收稿日期:1986-11-20 出版日期:1987-09-25 发布日期:1987-09-25

NONTRIVIAL SOLUTIONS OF QUASILINEAR ELLIPTIC EQUATIONS IN W₀^1,p INVOLVING LIMITING NONLINEARITIES

Li Gongbao

Dept. of Math., Wuhan University, Wuhan, China

Received:1986-11-20 Online:1987-09-25 Published:1987-09-25

摘要/Abstract

摘要： In this paper, We get the existence of non-trivial solutions of the following elliptic equations
-Σ_i=1ⁿ ∂/∂x_i (|▽u|^p-2 ∂u/∂x_i)=λ|u|^p-2u±u|u|^p*-2 in Ω⊂Rⁿ,
where n > p ≥ 2 and p^*=np/(n-p).

李工宝. NONTRIVIAL SOLUTIONS OF QUASILINEAR ELLIPTIC EQUATIONS IN W₀^1,p INVOLVING LIMITING NONLINEARITIES[J]. 数学物理学报(英文版), 1987, 7(3): 329-339.

Li Gongbao. NONTRIVIAL SOLUTIONS OF QUASILINEAR ELLIPTIC EQUATIONS IN W₀^1,p INVOLVING LIMITING NONLINEARITIES[J]. Acta mathematica scientia,Series B, 1987, 7(3): 329-339.

NONTRIVIAL SOLUTIONS OF QUASILINEAR ELLIPTIC EQUATIONS IN W₀^1,p INVOLVING LIMITING NONLINEARITIES

NONTRIVIAL SOLUTIONS OF QUASILINEAR ELLIPTIC EQUATIONS IN W₀^1,p INVOLVING LIMITING NONLINEARITIES

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