[New post] Variational and Topological Methods for a Class of Nonlinear Equations which Involves a Duality Mapping|Asian Research Journal of Mathematics

SCIENCE DOMAIN INTERNATIONAL posted: " The goal of this study is to prove that the abstract equation Jpu = Nfu exists, where Jp denotes the duality application on a real reflexive and smooth X Banach space, which corresponds to the gauge function (t) = tp-1, 1 p. We assume that X is compactly" SCIENCEDOMAIN international Variational and Topological Methods for a Class of Nonlinear Equations which Involves a Duality Mapping|Asian Research Journal of Mathematics SCIENCE DOMAIN INTERNATIONAL May 30 The goal of this study is to prove that the abstract equation Jpu = Nfu exists, where Jp denotes the duality application on a real reflexive and smooth X Banach space, which corresponds to the gauge function (t) = tp-1, 1 p. We assume that X is compactly immersed in Lq(), where is a bounded domain in RN, N 2, 1 q p is the Sobolev conjugate exponent, and p is the Sobolev conjugate exponent. The Nemytskii operator that Caratheodory function created by a f: R R that meets particular growth requirements is Nf: Lq() Lq′(), 1/q + 1/q′ = 1. To establish the existence of solutions for the equation Jpu = Nfu, we employ topological approaches (through the Leray-Schauder degree), critical points methods (the Mountain Pass theorem), and a direct variational method. Please click here : https://journalarjom.com/index.php/ARJOM/article/view/30230 Comment Like You can also reply to this email to leave a comment. Unsubscribe to no longer receive posts from SCIENCEDOMAIN international. Change your email settings at manage subscriptions. Trouble clicking? Copy and paste this URL into your browser: https://sciencedomainblog.wordpress.com/2022/05/30/variational-and-topological-methods-for-a-class-of-nonlinear-equations-which-involves-a-duality-mappingasian-research-journal-of-mathematics/ Powered by WordPress.com