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Some Discontinuous Problems with a Quasilinear Operator
ArticleAbstract:Palabras claves:Autores:Arcoya D., Marco Vinicio Calahorrano RecaldeFuentes:googlescopusA BIHARMONIC EQUATION WITH DISCONTINUOUS NONLINEARITIES
ArticleAbstract: We study the biharmonic equation with discontinuous nonlinearity and homogeneous Dirichlet type bounPalabras claves:Biharmonic equation, Critical point, dual variational principle, Free boundary problem, nonlinear discontinuityAutores:Alfonso Castro, Eduardo Arias, Marco Vinicio Calahorrano RecaldeFuentes:scopusAmbrosetti-Prodi type problem with non-homogeneous Dirichlet boundary conditions
ArticleAbstract: This article demonstrates the existence of at least three solutions to the Ambrosetti-Prodi type proPalabras claves:Ambrosetti-Prodi type problem, Existence of solutions, Monotone iteration, Mountain pass theorem, Sub-supersolutionAutores:Gabriela Revelo-Silverio, Marco Vinicio Calahorrano RecaldeFuentes:scopusComparison and Contrast of the Classical (Ambrosetti and Rabinowitz) and Topological (Katriel) Approaches of the Mountain Pass Theorem
ArticleAbstract: In this article we present the outlines of the proofs of the classical Mountain Pass Theorem by AmbrPalabras claves:General Topology, Mountain Pass, non-linear analysis, partial differential equationsAutores:Marco Vinicio Calahorrano Recalde, Miguel AguilarFuentes:scopusBackward estimates for nonnegative solutions to a class of singular parabolic equations
ArticleAbstract: In this paper we improve a recent result of the same Authors (Recalde and Vespri, 2015) by using thePalabras claves:Backward pointwise estimates, Harnack estimates, Nonnegative solutions, Singular parabolic equationsAutores:Marco Vinicio Calahorrano Recalde, Vespri V.Fuentes:googlescopusGeometrical Optimization of Pelton Turbine Buckets for Enhancing Overall Efficiency by Using a Parametric Model—A Case Study: Hydroelectric Power Plant “Illuchi N2” from Ecuador
ArticleAbstract: In Ecuador, the implementation of hydroelectric power plants has had a remarkable growth in the enerPalabras claves:CFD, optimization, parametric model, Pelton turbineAutores:Clotario Tapia, CV Tapia-Bastidas, Guillermo Barragán, José Erazo, Marco Vinicio Calahorrano Recalde, Pérez-Sánchez M., Víctor Hugo Hidalgo DíazFuentes:scopusExistencia de soluciones positivas para problemas no lineales con discontinuidades indefinidas
ArticleAbstract: In this paper we present some results about the existence of positive solutions for second order difPalabras claves:Boundary value problems, Indefinite discontinuous nonlinearities, Positive solutionsAutores:Marco Vinicio Calahorrano RecaldeFuentes:googlescopusHarnack estimates at large: Sharp pointwise estimates for nonnegative solutions to a class of singular parabolic equations to celebrate the 60th birthday of Enzo Mitidieri
ArticleAbstract: In this paper we deal with quasilinear singular parabolic equations with <sup>L∞</sup> coefficients,Palabras claves:Harnack estimates, Nonnegative solutions, Pointwise estimates, Singular parabolic equationsAutores:Marco Vinicio Calahorrano Recalde, Vespri V.Fuentes:googlescopusRemarks on inhomogeneous elliptic problems arising in astrophysics
ArticleAbstract: We deal with the variational study of some type of nonlinear inhomogeneous elliptic problems arisingPalabras claves:Inhomogeneous semilinear elliptic problems, Solar flares, Variational methodsAutores:Hermann Mena, Marco Vinicio Calahorrano RecaldeFuentes:googlescopusRemarks on the Grad-Shafranov equation
ArticleAbstract: The existence of solutions of free boundary problems with discontinuous nonlinearities arising in PlPalabras claves:Autores:Ambrosetti A., Dobarro F., F. Dobarro, Marco Vinicio Calahorrano RecaldeFuentes:googlescopus