Homotopy method for positive solutions of $p$-Laplace inclusions

Jean-Franҫois Couchouron, Radu Precup

DOI: http://dx.doi.org/10.12775/TMNA.2007.023

Abstract


In this paper the compression-expansion fixed point theorems are extended to
operators which are compositions of two multi-valued nonlinear maps and
satisfy compactness conditions of Mönch type with respect to the weak or
the strong topology. As an application, the existence of positive solutions
for $p$-Laplace inclusions is studied.

Keywords


p-Laplacian; fixed point; positive solution; multi-valued map

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