Nonlinear multivalued problems with variable exponent and diffuse measure data in anisotropic space
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Abstract
We study a nonlinear elliptic problem governed by a general anisotropic operator with variable exponents and Radon diffuse measure data. We start by proving the existence of a renormalized solution and we establish that the notion of renormalized solution is equivalent to the notion of entropy solution. Finally, we show the uniqueness of the entropy solution.
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Konate, I., & Ouaro, S. (2018). Nonlinear multivalued problems with variable exponent and diffuse measure data in anisotropic space. Gulf Journal of Mathematics, 6(2). https://doi.org/10.56947/gjom.v6i2.130
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