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A unified approach to symmetry for semilinear equations associated to the Laplacian in R<sup>N</sup>
ArticleAbstract: We show radial symmetry of positive solutions to the Hénon equation −Δu=|x|−ℓuq in RN∖{0}, where ℓ≥0Palabras claves:Entire solution, Maximum principle, Semi-linear elliptic equation, symmetryAutores:Ándres I. Ávila, Brock F.Fuentes:scopusMultiple solutions of a coupled nonlinear Schrödinger system
ArticleAbstract: We will consider the relation between the number of positive standing waves solutions for a class ofPalabras claves:Elliptic system, Nehari manifold, Relative category, Schrödinger equation, Variational methodsAutores:Ándres I. Ávila, Wan Y.Fuentes:scopusStability results for the first eigenvalue of the Laplacian on domains in space forms
ArticleAbstract: We studied the two known works on stability for isoperimetric inequalities of the first eigenvalue oPalabras claves:Constant curvature, Faber-Krahn inequality, Space forms, Stability of eigenvalues, Szegö-Weinberger inequalityAutores:Ándres I. ÁvilaFuentes:scopus