Acta mathematica scientia,Series B ›› 1988, Vol. 8 ›› Issue (4): 431-448.
• Articles • Previous Articles Next Articles
Li Gongbao Zhu Xiping
Received:
Online:
Published:
Abstract: In this paper, we use the concentration-compactness prieciple togther with the Mountain Pass Lemma to get the existence of nontrivial solutions of the following scalar field equations with strong nonlinearity-∑i=1N ∂/∂xi(|▽u|p-2 ∂u/∂xi)+a(x)|u|q-2 u=f(x,u),x∈RN,N ≥ 2 u∈E={u∈Lq(RN)|u real,∂u/∂xi∈Lp(RN),1 ≤ i ≤ N}, where 2 ≤ p ≤ q,p=N.
Li Gongbao Zhu Xiping. NONTRIVIAL SOLUTION OF NONLINEAR SCALAR FIELD EQUATIONS WITH STRONG NONLINEARITY[J].Acta mathematica scientia,Series B, 1988, 8(4): 431-448.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: http://121.43.60.238/sxwlxbB/EN/
http://121.43.60.238/sxwlxbB/EN/Y1988/V8/I4/431
Cited