Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2007; 44(2): 249-260

Printed March 1, 2007

Copyright © The Korean Mathematical Society.

On positive solutions for a class of Indefinite weight semilinear elliptic boundary value problems with critical Sobolev exponent

Bongsoo Ko and Seungpil Kang

Cheju National University, Cheju National University

Abstract

By variational methods, we prove the existence of positive solutions of a class of indefinite weight semilinear elliptic boundary value problems on critical Sobolev exponent.

Keywords: indefinite weight semilinear elliptic problems, critical Sobolev exponent, positive solutions, variational methods

MSC numbers: 35J60, 35J20