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Non-energy semi-stable radial solutions

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Publication:2800065
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DOI10.1142/S0219199715500443zbMath1338.35140arXiv1405.1241OpenAlexW2963541507MaRDI QIDQ2800065

Salvador Villegas

Publication date: 14 April 2016

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.1241

zbMATH Keywords

semi-stable radial solutionssharp pointwise estimates


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)




Cites Work

  • Unnamed Item
  • Regularity of radial minimizers and extremal solutions of semilinear elliptic equations
  • Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems
  • Blow up for \(u_ t- \Delta u=g(u)\) revisited
  • Geometric-type Sobolev inequalities and applications to the regularity of minimizers
  • Quasilinear Dirichlet problems driven by positive sources
  • Dichotomy of stable radial solutions of \(-\Delta u=f(u)\) outside a ball
  • Sur une classe de problemes non lineaires avec non linearite positive, croissante, convexe.
  • Regularity of the extremal solution of semilinear elliptic equations
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