ON AN EIGENVALUE PROBLEM INVOLVING THE p(x)–LAPLACE OPERATOR PLUS A NON–LOCAL TERM
نویسندگان
چکیده
We study an eigenvalue problem involving variable exponent growth conditions and a non-local term, on a bounded domain Ω ⊂ RN . Using adequate variational techniques, mainly based on the mountain-pass theorem of A. Ambrosetti and P. H. Rabinowitz, we prove the existence of a continuous family of eigenvalues lying in a neighborhood at the right of the origin. Mathematics subject classification (2000): 35D05, 35J60, 35J70, 58E05, 68T40, 76A02.
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