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Local superlinearity for elliptic systems involving parameters |
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| Authors: | João Marcos do Ó Sebastián Lorca Pedro Ubilla |
| Institution: | a Departament de Matemàtica Aplicada III, Universitat Politècnica de Catalunya, 08240 Manresa, Spain b Departament d’Economia i Història Econòmica, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain c Departament d’IMA, Universitat de Girona, 17071 Girona, Spain |
| Abstract: | We study the existence, non-existence, and multiplicity of positive solutions for a class of systems of second-order ordinary differential equations using the fixed-point theorem of cone expansion/compression type, the upper-lower solutions method, and degree arguments. We apply our abstract results to study semilinear elliptic systems in bounded annular domains with non-homogeneous boundary conditions. Here the nonlinearities satisfy local superlinear assumptions. |
| Keywords: | 35J65 34B15 34B18 |
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