Problemas elípticos do tipo côncavo-convexo com crescimento crítico e condição de Neumann

TL;DRAbstract

In this thesis results of existence, nonexistence and multiplicity of solutions for a class of elliptic problems with homogeneous Neumann condition, -uu = a(x)u q + f (x, u), on a bounded and smooth domain of Euclidean space, 0 < q < 1, a is Holder continuous and may change sign and f is Holder continuous in x, locally Holder continuous in u and with critical growth. The existence of the first solution was obtained by the method of upper and lower solution and the second solution was obtained by Mountain Pass Theorem.

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