Abstract
In this paper, based on the theory of variable exponent Sobolev space, we study a class of nonlinear elliptic equations with principal part having degenerate coercivity and obtain some existence and regularity results for the solutions.
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Xia Zhang supported by BK21 at POSTECH, Xia Zhang POSTECH Postdoctoral Fellowship and the Fundamental Research Funds for the Central Universities (Grant No. HIT. NSRIF. 2011005).
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Zhang, X., Fu, Y. Solutions for nonlinear elliptic equations with variable growth and degenerate coercivity. Annali di Matematica 193, 133–161 (2014). https://doi.org/10.1007/s10231-012-0270-1
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DOI: https://doi.org/10.1007/s10231-012-0270-1