By the aid of Aleksandrov–Pucci maximum principle for linear elliptic operators, we derive L∞-a priori estimate and uniqueness for strong solutions to the Dirichlet problem for quasilinear strictly elliptic equations with Carath´eodory’s coefficients. The results obtained compose a preliminary step towards the study of strong solvability (in Sobolev or Morrey spaces) of boundary value problems for quasilinear elliptic operators with discontinuous coefficients.

L^infty-estimates for strong solutions to quasilinear elliptic equations

SOFTOVA PALAGACHEVA, Lyoubomira
1999

Abstract

By the aid of Aleksandrov–Pucci maximum principle for linear elliptic operators, we derive L∞-a priori estimate and uniqueness for strong solutions to the Dirichlet problem for quasilinear strictly elliptic equations with Carath´eodory’s coefficients. The results obtained compose a preliminary step towards the study of strong solvability (in Sobolev or Morrey spaces) of boundary value problems for quasilinear elliptic operators with discontinuous coefficients.
1999
90-6764-296-7
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11591/214775
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