Výsledky vyhledávání - "Rodríguez López, Jorge A."

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An existence result in annular regions times conical shells and its application to nonlinear Poisson systems

Autor: Infante, Gennaro, Mascali, Giovanni, Rodríguez-López, Jorge

We provide a new existence result for abstract nonlinear operator systems in normed spaces, by means of topological methods. The solution is located within the product of annular regions and conical shells. The theoretical result possesses a wide ran

Externí odkaz: http://arxiv.org/abs/2411.08713

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A Birkhoff-Kellogg type theorem for discontinuous operators with applications

Autor: Calamai, Alessandro, Infante, Gennaro, Rodríguez-López, Jorge

Publikováno v: Mediterr. J. Math. 21, 149 (2024)

By means of fixed point index theory for multi-valued maps, we provide an analogue of the classical Birkhoff--Kellogg Theorem in the context of discontinuous operators acting on affine wedges in Banach spaces. Our theory is fairly general and can be

Externí odkaz: http://arxiv.org/abs/2401.16050

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A hybrid Krasnosel'ski\u{i}-Schauder fixed point theorem for systems

Autor: Infante, Gennaro, Mascali, Giovanni, Rodríguez-López, Jorge

We provide new results regarding the localization of the solutions of nonlinear operator systems. We make use of a combination of Krasnosel'ski\u{\i} cone compression-expansion type methodologies and Schauder-type ones. In particular we establish a l

Externí odkaz: http://arxiv.org/abs/2307.06053

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On discontinuous differential equations and the method of solution-regions

Autor: Rodríguez-López, Jorge

We adapt the method of solution regions to prove new existence and localization results for systems of discontinuous differential equations. Some assumptions concerning the definition of a solution region are relaxed and thus our results enlarge the

Externí odkaz: http://arxiv.org/abs/2302.05821

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A fixed point index approach to Krasnosel'skii-Precup fixed point theorem in cones and applications

Autor: Rodríguez-López, Jorge

We present an alternative approach to the vector version of Krasnosel'skii compression-expansion fixed point theorem due to Precup, which is based on the fixed point index. It allows us to obtain new general versions of this fixed point theorem and a

Externí odkaz: http://arxiv.org/abs/2206.10497

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