Hits:

Indexed by:期刊论文

Date of Publication:2017-11-05

Journal:JOURNAL OF DIFFERENTIAL EQUATIONS

Included Journals:Scopus、SCIE

Volume:263

Issue:9

Page Number:5939-5967

ISSN No.:0022-0396

Key Words:Bifurcation; Spectrum; Nodal solutions

Abstract:This paper is concerned with the following semilinear elliptic problem
   {-Delta u = lambda m(x)f(u) in R-N, u -> 0 as vertical bar x vertical bar -> +infinity,
   where lambda is a real parameter and m is a weight function which may be sign-changing. For the linear case, i.e., f (u) = u, we investigate the spectral structure. For the semilinear case, we study the existence and asymptotic behavior of one-sign and nodal solutions by bifurcation method. (C) 2017 Elsevier Inc. All rights reserved.