We introduce new measures of non-compactness for the embedding operator Ep,q():Lp1() Lq() and describe their relations with the essential norm of Ep, q(), �local� isoperimetric and isocapacitary constants. An explicit formula for the essential norm of Ep, q() is obtained for domains with a power cusp on the boundary and bounded C1 domains. The Neumann problem for a particular Schrödinger operator is discussed on domains with a power cusp
© 2001-2024 Fundación Dialnet · Todos los derechos reservados