Release Time:2019-03-12  Hits:

Indexed by: Journal Article

Date of Publication: 2018-11-05

Journal: JOURNAL OF DIFFERENTIAL EQUATIONS

Included Journals: Scopus、SCIE

Volume: 265

Issue: 9

Page Number: 4311-4334

ISSN: 0022-0396

Key Words: Double phase problems; Musielak-Orlicz spaces; Sign-changing solution

Abstract: By variational method, we obtain various existence and multiplicity results for the following double phase problem
   {-div(vertical bar del u vertical bar(p-2)del u + a(x) vertical bar u vertical bar(q-2)del u) = f(x,u) in Omega,
   u=0 on partial derivative Omega.
   In particular, we find a sign-changing ground state solution. Some properties of double phase operator are also obtained. (C) 2018 Elsevier Inc. All rights reserved.