Release Time:2019-03-11  Hits:

Indexed by: Journal Article

Date of Publication: 2017-11-05

Journal: JOURNAL OF DIFFERENTIAL EQUATIONS

Included Journals: SCIE、Scopus

Volume: 263

Issue: 9

Page Number: 5939-5967

ISSN: 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.