شماره ركورد كنفرانس :
4032
عنوان مقاله :
MULTIPLICITY OF POSITIVE SOLUTIONS FOR A CLASS OF ELLIPTIC p-LAPLACIAN PROBLEMS WITH LACK OF COMPACTNESS
پديدآورندگان :
MOHAMMADI YAGHOOBI FARAJOLLAH yaghoobi@iauh.ac.ir Department of Mathemetics, Faculty of Basic Science, Hamedan Branch, Islamic Azad University, Hamedan, Iran. , SHAMSHIRI JAMILEH jamileshamshiri@gmail.com Tabaran Institute of Higher Education, Mashhad, Iran.
كليدواژه :
Critical point , Nonlinear elliptic equation , lack of com , pactness , Sobolev imbedding.
عنوان كنفرانس :
نهمين سمينار ملي آناليز غير خطي و كاربردهاي آن
چكيده فارسي :
In this paper, we deal with the existence and multi-
plicity of nonnegative nontrivial weak solutions for a class of elliptic
p-Laplacian problems on RN. By variational methods, we prove
that there exists ʎ* such that forʎ E (0; ʎ); the given boundary
value problem has at least two nontrivial nonnegative solutions.