Geodesic
On the uniqueness result for the Dirichlet problem and invexity
Acta mathematica Universitatis Comenianae, Tome 77 (2008) no. 2 
M. Płócienniczak. On the uniqueness result for the Dirichlet problem and invexity. Acta mathematica Universitatis Comenianae, Tome 77 (2008) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2008_77_2_a5/
@article{AMUC_2008_77_2_a5,
     author = {M. P{\l}\'ocienniczak},
     title = {On the uniqueness result for the {Dirichlet} problem and invexity},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2008},
     volume = {77},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2008_77_2_a5/}
}
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JO  - Acta mathematica Universitatis Comenianae
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Voir la notice de l'article provenant de la source Comenius University

We provide an existence and uniqueness theorem for the Dirichlet problem div Hz ( y , Ñ x ( y )) = Ñ xF ( y,x ( y )). The assumption that both H and F are invex with respect to the second variable is imposed and the direct variational method is applied. The application is also shown.