Nonlinear anisotropic elliptic equations with variable exponents and degenerate coercivity
Texas State University, Department of Mathematics
In this article, we prove the existence and the regularity of distributional solutions for a class of nonlinear anisotropic elliptic equations with pi(x) growth conditions, degenerate coercivity and Lm(∙) data, with m(∙) being small, in appropriate Lebesgue-Sobolev spaces with variable exponents. The obtained results extend some existing ones [8, 10].
Anisotropic elliptic equations, Variable exponents, Degenerate coercivity, Distributional solutions, Irregular data
Ayadi, H., & Mokhtari, F. (2018). Nonlinear anisotropic elliptic equations with variable exponents and degenerate coercivity. <i>Electronic Journal of Differential Equations, 2018</i>(45), pp. 1-23.