{"product_id":"potential-theory-for-quasilinear-elliptic-equations-with-variable-exponent-von-abdelbaset-qabil-azeddine-baalal","title":"Potential theory","description":"\u003cp\u003eWE 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.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783659615658\"\u003e\u003ch3\u003eFor quasilinear elliptic equations with variable exponent\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783659615658","offer_id":39432513650781,"sku":"9783659615658","price":54.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/45c82b45-0bf9-4f2f-b941-c4e0a4958e55.jpg?v=1772949140","url":"https:\/\/shop.autorenwelt.de\/products\/potential-theory-for-quasilinear-elliptic-equations-with-variable-exponent-von-abdelbaset-qabil-azeddine-baalal","provider":"Autorenwelt Shop","version":"1.0","type":"link"}