LAUSR.org creates dashboard-style pages of related content for over 1.5 million academic articles. Sign Up to like articles & get recommendations!

A necessary and sufficient condition for strong convergence in Sobolev spaces

Photo by _zachreiner_ from unsplash

Abstract We present an improved version of a necessary and sufficient condition for strong convergence in the Sobolev space W 1 , p ( Ω ) and provide a nontrivial… Click to show full abstract

Abstract We present an improved version of a necessary and sufficient condition for strong convergence in the Sobolev space W 1 , p ( Ω ) and provide a nontrivial application to a class of fully nonlinear partial differential equations involving the range of the map W 1 , p ( Ω ) ∋ u ↦ | ∇ u | p ∈ L 1 ( Ω ) .

Keywords: sufficient condition; necessary sufficient; condition strong; strong convergence; convergence sobolev

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019

Link to full text (if available)


Share on Social Media:                               Sign Up to like & get
recommendations!

Related content

More Information              News              Social Media              Video              Recommended



                Click one of the above tabs to view related content.