Vol. 57, No. 3, pp. 273-284 (2000)
Multiple Semiclassical Solutions of The Schrödinger Equation Involving a Critical Sobolev Exponent
J. Chabrowski and Jianfu YangDepartment of Mathematics, The University of Queensland,
St. Lucia 4072, Qld - AUSTRALIA
Department of Mathematics, Nanchang University,
Nanchang, Jiangxi 330047 - P.R. OF CHINA
Abstract: We prove the existence of multiple solutions of the Schrödinger equation involving a critical Sobolev exponent. We use the Lusternik-Schnirelman theory of critical points.
Keywords: Schrödinger equation; Sobolev exponent; critical points.
Classification (MSC2000): 35J65.
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Electronic version published on: 31 Jan 2003. This page was last modified: 27 Nov 2007.