Weak Continuity of the Cartan Structural System and Compensated Compactness on Semi-Riemannian Manifolds with Lower Regularity
Sign Up to like & getrecommendations! Published in 2021 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-021-01655-2
Abstract: We are concerned with the global weak continuity of the Cartan structural system $-$ or equivalently, the Gauss-Codazzi-Ricci system $-$ on semi-Riemannian manifolds with lower regularity. For this purpose, we first formulate and prove a… read more here.
Keywords: weak continuity; system; semi riemannian; structural system ... See more keywords
Some cases of weak continuity in nonlinear Dirichlet problems
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2019.05.020
Abstract: Abstract We show how to pass to the limit in some nonlinear elliptic problems, despite the weak convergence of the right hand sides (and the weak convergence of the solutions). read more here.
Keywords: cases weak; continuity nonlinear; dirichlet problems; weak continuity ... See more keywords