Sign-changing and multiple solutions for thep-Laplacian
نویسندگان
چکیده
منابع مشابه
SIGN-CHANGING AND MULTIPLE SOLUTIONS FOR THE p-LAPLACIAN SIEGFRIED CARL AND KANISHKA PERERA
where ∆pu= div(|∇u|p−2∇u) is the p-Laplacian, 1 < p <∞. ByW1,p(Ω) we denote the usual Sobolev space with dual space (W1,p(Ω))∗, andW 0 (Ω) denotes its subspace whose elements have generalized homogeneous boundary values and whose dual space is given by W−1,p(Ω). We assume the following growth and asymptotic behaviour of the nonlinear right-hand side f of (1.1): (H1) f :Ω×R → R is a Carathéodory...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2002
ISSN: 1085-3375,1687-0409
DOI: 10.1155/s1085337502207010