Uniqueness of blowing up solutions on the boundary in quasilinear elliptic equations with non homogeneous term in L∞

• Letelier, R. ^[1] ; Ortega, J. ^[2]
  1. [1] Universidad de Concepción

     Universidad de Concepción

     Comuna de Concepción, Chile

     
  2. [2] Universidad del Bío-Bío

     Universidad del Bío-Bío

     Comuna de Concepción, Chile

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 13, Nº. 2, 1994, págs. 99-113
• Idioma: inglés
• DOI: 10.22199/S07160917.1994.0002.00003
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• Resumen

  • We consider the quasilinear elliptic equation                                -Δu + H(x, u, Du) = ƒ, in Ω    (EH)being Ω ⊂ℝN, N ≥1, an open set with regular bounded boundary and f ∈ L∞(Ω). In this work we obtain upper estimates of the growth, near to the boundary, for any classic solution of (EH) and the exact behavior for any non negative solution of (EH) verifiying                            Finally, we prove the uniqueness of blow-up solutions of (EH).

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