Nodal solutions to quasilinear elliptic equations on compact Riemannian manifolds
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University of Tlemcen
Abstract
We show the existence of nodal solutions to perturbed quasilinear elliptic equations with critical Sobolev exponent on compact Riemannian manifolds. A nonexistence result is also given.
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COMMUNICATIONS IN CONTEMPORARY MATHEMATICS , ISSN : 0219-1997, DOI: 10.1142/S0219199710004032, Issue : 6, Volume : 12, pp. 909-937, December 2010.