Journal of the
Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2012; 49(6): 1123-1138

Printed November 1, 2012

https://doi.org/10.4134/JKMS.2012.49.6.1123

Copyright © The Korean Mathematical Society.

Anisotropic quasilinear elliptic equations with variable exponent

Mihai Mih\u ailescu and Denisa Stancu-Dumitru

Simion Stoilow of the Romanian Academy, Simion Stoilow of the Romanian Academy

Abstract

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We study some anisotropic boundary value problems involving variable exponent growth conditions and we establish the existence and multiplicity of weak solutions by using as main argument critical point theory.

Keywords: variable exponent growth conditions, anisotropic equations, critical points

MSC numbers: 35J60, 35J62, 35J70

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