Potential Theory: for Quasilinear Elliptic Equations with Variable Exponent - Azeddine Baalal - Books - LAP LAMBERT Academic Publishing - 9783659615658 - October 7, 2014
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Potential Theory: for Quasilinear Elliptic Equations with Variable Exponent

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WE discuss the existence and uniqueness of solutions of the quasilinear elliptic equations in Sobolev spaces with variable exponent. These solutions are obtained by the p(.)-obstacle problem. WE study regularity properties of weak solutions and we prove the Harnack?s inequality and continuity of solution. We show by proving a comparison principle that Keller-Osserman property is valid and we discuss the existence of Evans functions for solutions to the quasilinear elliptic equations in Sobolev spaces with variable exponent.

Media Books     Paperback Book   (Book with soft cover and glued back)
Released October 7, 2014
ISBN13 9783659615658
Publishers LAP LAMBERT Academic Publishing
Pages 124
Dimensions 7 × 150 × 220 mm   ·   203 g
Language German