Potential theory » książka
Potential theory
ISBN-13: 9783659615658 / Angielski / Miękka / 2014 / 124 str.
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.
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 Harnacks 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.
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