Potential theory
For quasilinear elliptic equations with variable exponent
Paperback
Lieferzeit: Print on Demand - Lieferbar innerhalb von 3-5 Werktagen I
ISBN-13:
9783659615658
Veröffentl:
2014
Einband:
Paperback
Erscheinungsdatum:
07.10.2014
Seiten:
124
Autor:
Abdelbaset Qabil
Gewicht:
203 g
Format:
220x150x8 mm
Sprache:
Englisch
Beschreibung:
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.