Geodesic
Existence and Uniqueness of Renormalized Solutions to Some Nonlinear Elliptic Equations with Variable Exponents and Measure Data
Journal of convex analysis, Tome 21 (2014) no. 2, pp. 317-338.

Voir la notice de l'article provenant de la source Heldermann Verlag

We prove the existence and uniqueness of renormalized solutions to a class of nonlinear elliptic equations with variable exponents and measure data in $L^{1}(\Omega)+W^{-1,p'(\cdot)}(\Omega)$.
Classification : 35D05, 35J60, 35J70, 26D07
Mots-clés : Nonlinear elliptic equations, variable exponents, measure data, renormalized solution, existence, uniqueness 
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     author = {B. Lv and F. Li and W. Zou},
     title = {Existence and {Uniqueness} of {Renormalized} {Solutions} to {Some} {Nonlinear} {Elliptic} {Equations} with {Variable} {Exponents} and {Measure} {Data}},
     journal = {Journal of convex analysis},
     pages = {317--338},
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     volume = {21},
     number = {2},
     year = {2014},
     url = {http://geodesic.mathdoc.fr/item/JCA_2014_21_2_JCA_2014_21_2_a1/}
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B. Lv; F. Li; W. Zou. Existence and Uniqueness of Renormalized Solutions to Some Nonlinear Elliptic Equations with Variable Exponents and Measure Data. Journal of convex analysis, Tome 21 (2014) no. 2, pp. 317-338. http://geodesic.mathdoc.fr/item/JCA_2014_21_2_JCA_2014_21_2_a1/