Let (M, g) and be two Riemannian manifolds of dimensions m and k, respectively. Let . The warped product is the (m + k)-dimensional product manifold furnished with metric . We prove that the supercritical problem has a solution concentrated along a k-dimensional minimal submanifold of as the real parameter goes to zero, provided the function h and the sectional curvatures along satisfy a suitable condition.

Blow-up solutions concentrated along minimal submanifolds for some supercritical elliptic problems on Riemannian manifolds / Marco, Ghimenti; Anna Maria, Micheletti; Pistoia, Angela. - In: JOURNAL OF FIXED POINT THEORY AND ITS APPLICATIONS. - ISSN 1661-7738. - STAMPA. - 14:2(2013), pp. 503-525. [10.1007/s11784-014-0168-1]

Blow-up solutions concentrated along minimal submanifolds for some supercritical elliptic problems on Riemannian manifolds

PISTOIA, Angela
2013

Abstract

Let (M, g) and be two Riemannian manifolds of dimensions m and k, respectively. Let . The warped product is the (m + k)-dimensional product manifold furnished with metric . We prove that the supercritical problem has a solution concentrated along a k-dimensional minimal submanifold of as the real parameter goes to zero, provided the function h and the sectional curvatures along satisfy a suitable condition.
2013
concentration along minimal submanifold; supercritical problem
01 Pubblicazione su rivista::01a Articolo in rivista
Blow-up solutions concentrated along minimal submanifolds for some supercritical elliptic problems on Riemannian manifolds / Marco, Ghimenti; Anna Maria, Micheletti; Pistoia, Angela. - In: JOURNAL OF FIXED POINT THEORY AND ITS APPLICATIONS. - ISSN 1661-7738. - STAMPA. - 14:2(2013), pp. 503-525. [10.1007/s11784-014-0168-1]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/781648
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