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Neumann problems with resonance in the first eigenvalue
Abstract:
The aim of this work is to present results of existence of solutions for a class of superlinear asymmetric elliptic systems with resonance in the first eigenvalue. The asymmetry that we consider has linear behavior on urn:x-wiley:0025584X:media:mana201600139:mana201600139-math-0001 and superlinear on urn:x-wiley:0025584X:media:mana201600139:mana201600139-math-0002. To obtain these results we apply topological degree theory.
Keywords:Neumann problem  resonant problem  superlinear nonlinearity  topological degree  35J57  35J65
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