Existence of solutions of degenerated unilateral problems with L 1 data
Aharouch, Lahsen ; Akdim, Youssef
Annales mathématiques Blaise Pascal, Tome 11 (2004), p. 47-66 / Harvested from Numdam
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In this paper, we shall be concerned with the existence result of the Degenerated unilateral problem associated to the equation of the type Au+g(x,u,∇u)=f- div F, where A is a Leray-Lions operator and g is a Carathéodory function having natural growth with respect to |∇u| and satisfying the sign condition. The second term is such that, f∈L 1 (Ω) and F∈Π i=1 N L p ′ (Ω,w i 1-p ′ ).

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     author = {Aharouch, Lahsen and Akdim, Youssef},
     title = {Existence of solutions of degenerated unilateral problems with $L^1$ data},
     journal = {Annales math\'ematiques Blaise Pascal},
     volume = {11},
     year = {2004},
     pages = {47-66},
     doi = {10.5802/ambp.185},
     zbl = {02207858},
     mrnumber = {2077238},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AMBP_2004__11_1_47_0}
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Aharouch, Lahsen; Akdim, Youssef. Existence of solutions of degenerated unilateral problems with $L^1$ data. Annales mathématiques Blaise Pascal, Tome 11 (2004) pp. 47-66. doi : 10.5802/ambp.185. http://gdmltest.u-ga.fr/item/AMBP_2004__11_1_47_0/

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