Equations involving a variable exponent Grushin-type operator

نویسنده

  • Mihai Mihăilescu
چکیده

In this paper we define a Grushin-type operator with a variable exponent growth and establish existence results for an equation involving such an operator. A suitable function space setting is introduced. Regarding the tools used in proving the existence of solutions for the equation analyzed here they rely on the critical point theory combined with adequate variational techniques. 2010 Mathematics Subject Classification: 35H99; 46E30; 35B38.

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تاریخ انتشار 2011