MULTIPLE SOLUTIONS FOR A CLASS OF p(x)-LAPLACIAN PROBLEMS INVOLVING CONCAVE-CONVEX NONLINEARITIES
نویسنده
چکیده
Since A. Ambrosetti and P.H. Rabinowitz proposed the mountain pass theorem in 1973 (see [1]), critical point theory has become one of the main tools for finding solutions to elliptic problems of variational type. Especially, elliptic problem (1.2) has been intensively studied for many years. One of the very important hypotheses usually imposed on the nonlinearities is the following Ambrosetti-Rabinowitz type condition ((A-R) type condition for short): There exists μ > p such that 0 < μG(x, t) := μ ∫ t
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