Local gradient estimates and existence of minimal solutions of some nonlinear elliptic equations blowing up on the boundary

• Autores: Rene Gerardo Letelier Albornoz, Jaime Ortega
• Localización: Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum, ISSN 1130-4723, Vol. 5, Nº. 1, 1993, págs. 111-124
• Idioma: inglés
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• Resumen

  • A local estimate of the gradient of every solution to the quasilinear PDE (E) is obtained in this work, under suitable structural conditions of the data. We show the existence of a minimal solution blowing up on the boundary with the help of this estimate.