On the p-biharmonic equation involving concave-convex nonlinearities and sign-changing weight function
Author(s) -
Chao Ji,
Weihua Wang
Publication year - 2012
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2012.1.2
Subject(s) - biharmonic equation , mathematics , concave function , sign (mathematics) , regular polygon , mathematical analysis , function (biology) , geometry , evolutionary biology , biology , boundary value problem
In this paper, we study the combined effect of concave and convex nonlinearities on the number of nontrivial solutions for the p-biharmonic equation of the form 2 u = j uj q−2 u + f(x)j uj r−2 u in , u = r u = 0 on @,
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