A PRIORI BOUNDS FOR WEAK SOLUTIONS TO ELLIPTIC EQUATIONS WITH NONSTANDARD GROWTH

作者：Winkert Patrick^*; Zacher Rico

来源：Discrete and Continuous Dynamical Systems - Series S, 2012, 5(4): 865-878.

DOI：10.3934/dcdss.2012.5.865

• A priori estimates
• De Giorgi iteration
• Elliptic equations
• Nonstandard growth
• Partition of unity
• Variable exponent spaces

In this paper we study elliptic equations with a nonlinear conormal derivative boundary condition involving nonstandard growth terms. By means of the localization method and De Giorgi%26apos;s iteration technique we derive global a priori bounds for weak solutions of such problems.

• 出版日期2012-8