Minimax solutions for a problem with sign changing nonlinearity and lack of strict convexity
classification
🧮 math.AP
keywords
nonlinearitysignchangeschangingconsideredconvexconvexitycritical
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A result of existence of a nonnegative and a nontrivial solution is proved via critical point theorems for non smooth functionals. The equation considered presents a convex part and a nonlinearity which changes sign.
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