Non-Radially Symmetric Solutions for a Superlinear Ambrosetti-Prodi Type Problem in a Ball

De Figueiredo, DG and Srikanth, PN and Santra, S (2005) Non-Radially Symmetric Solutions for a Superlinear Ambrosetti-Prodi Type Problem in a Ball. In: Communications in Contemporary Mathematics, 7 (6). pp. 849-866.

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Abstract

Using a careful analysis of the Morse indices of the solutions obtained by using the Mountain Pass Theorem applied to the associated Euler–Lagrange functional acting both in the full space $H^{1}_{0}(\Omega)$ and in its subspace of radially symmetric functions, we prove the existence of non-radially symmetric solutions of a problem of Ambrosetti–Prodi type in a ball.

Item Type:	Journal Article
Publication:	Communications in Contemporary Mathematics
Publisher:	World Scientific Publication Co Pte Ltd
Additional Information:	Copyright for this article belongs to World Scientific Publication Co Pte Ltd.
Keywords:	Mountain Pass Theorem; non-radial solutions; Morse Index; concentration
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	27 Feb 2006
Last Modified:	27 Aug 2008 11:46
URI:	http://eprints.iisc.ac.in/id/eprint/5575

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