Regularity and Morse Index of the Solutions to Critical Quasilinear Elliptic Systems

Author: Carmona José   Cingolani Silvia   Martínez-Aparicio Pedro J.   Vannella Giuseppina  

Publisher: Taylor & Francis Ltd

ISSN: 0360-5302

Source: Communications in Partial Differential Equations, Vol.38, Iss.10, 2013-10, pp. : 1675-1711

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Abstract

Regularity results and critical group estimates are studied for critical (p, r)-systems. Multiplicity results of solutions for a critical potential quasilinear system are also proved using Morse theory.