Nonlinear analysis and mathematical physcis seminar——Quasilinear elliptic problem in anisotropic Orlicz-Sobolev space on unbounded domain
报告人：Karol Wroński
时间：2023-02-16 17:00-18:00
地点：Zoom ID：849 2939 2947 笔补蝉蝉飞辞谤诲：931323
Abstract:
We study a quasilinear elliptic problem $-\text{div} (\nabla \Phi(\nabla u))+V(x)N'(u)=f(u)$ with anisotropic convex function $\Phi$ on whole $\R^n$. To prove existence of a nontrivial weak solution we use mountain pass theorem for a functional defined on anisotropic Orlicz-Sobolev space $\WLPhispace(\R^n)$. As the domain is unbounded we need to use Lions type lemma formulated for Young functions. Our assumptions broaden the class of considered functions $\Phi$ so our result generalizes earlier analogous results proved in isotropic setting.
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Meeting ID：849 2939 2947
笔补蝉蝉飞辞谤诲：931323
