Geodesic
Entropy solutions for nonlinear elliptic equations with variable exponents
Electronic journal of differential equations, Tome 2014 (2014)
In this article we prove the existence and uniqueness of entropy solutions for $p(x)$-Laplace equations with a Radon measure which is absolutely continuous with respect to the relative $p(x)$-capacity. Moreover, the existence of entropy solutions for weighted $p(x)$-Laplace equation is also obtained.
Classification : 35J70, 35D05, 35D10, 46E35
Keywords: variable exponents, entropy solutions, existence, uniqueness 
@article{EJDE_2014__2014__a86,
     author = {Zhang,  Chao},
     title = {Entropy solutions for nonlinear elliptic equations with variable exponents},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1291.35096},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a86/}
}
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%J Electronic journal of differential equations
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Zhang,  Chao. Entropy solutions for nonlinear elliptic equations with variable exponents. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a86/