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Applied Numerical Mathematics(1)
Communications on Pure and Applied Analysis(1)
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Journal of Mathematical Analysis and Applications(1)
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A result on singularly perturbed elliptic problems
ArticleAbstract: We consider a class of equations of the form -ε2Δu + V(x)u = f(u), u ∈ H1(RN). For a local minimum xPalabras claves:Singularly perturbed elliptic problems, Variational methodsAutores:Ándres I. Ávila, Jeanjean L.Fuentes:scopusA 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:scopusOn numerical methods for nonlinear singularly perturbed Schrödinger problems
ArticleAbstract: Nonlinear Schrödinger equations (NSE) model several important problems in Quantum Physics and MorphoPalabras claves:Dual weighted residual method, Patankar trick, Singularly perturbed Schrödinger problemsAutores:Ándres I. Ávila, Meister A., Steigemann M.Fuentes:scopusOn the existence and shape of least energy solutions for some elliptic systems
ArticleAbstract: We establish an existence result for strongly indefinite semilinear elliptic systems with Neumann boPalabras claves:Elliptic system, Indefinite, Positive solutions, SemilinearAutores:Ándres I. Ávila, Yang J.Fuentes:scopus