Existence and uniqueness of positive solution for nonhomogeneous sublinear elliptic equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:358

Article

Benrhouma, Mohamed¹  Ounaies, Hichem¹ 

[1] Sci Fac Monastir, Dept Math, Monastir 5019, Tunisia

关键词: Semilinear elliptic equation;    Nehari manifold;    Concentration-compactness principle;    Variational method;   

DOI  :  10.1016/j.jmaa.2009.04.049

来源: Elsevier

【 摘 要 】

In this paper, we Study the existence and the uniqueness of positive Solution for the sublinear elliptic equation, -Delta u +u = vertical bar u vertical bar(p) sgn(u)+ f in R-N, N >= 3, 0 < p < 1, f is an element of L-2(R-N), f > 0 a.e. in R-N. We show by applying a minimizing method on the Nehari manifold that this problem has a unique positive Solution in H-1 (R-N) boolean AND Lp+1(R-N). We Study its continuity in the perturbation parameter f at 0. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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