An elliptic singular system with nonlocal boundary conditions
We study the existence of solutions for the nonlinear second order elliptic system f(u) + g(u) = f (x), where g C(ℝN\\δ, ℝN) with δ ℝN bounded. Using topological degree methods, we prove an existence result under a geometric condition on g. Moreover, we analyze the particular case of an isolated rep...
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2012
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v75_n15_p5815_Amster http://hdl.handle.net/20.500.12110/paper_0362546X_v75_n15_p5815_Amster |
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| Sumario: | We study the existence of solutions for the nonlinear second order elliptic system f(u) + g(u) = f (x), where g C(ℝN\\δ, ℝN) with δ ℝN bounded. Using topological degree methods, we prove an existence result under a geometric condition on g. Moreover, we analyze the particular case of an isolated repulsive singularity: under a Nirenberg type condition, we prove the existence of a sequence of solutions of appropriate approximated problems that converges to a generalized solution. © 2012 Elsevier Ltd. All rights reserved. |
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