Epiconvergence method to a nonlinear value boundary problem with L^1 data
DOI:
https://doi.org/10.5269/bspm.v34i2.26861Palabras clave:
Nonlinear value boundary problem, epi-convergence method, L^1 dataResumen
The aim of this work is to study the existence of solutions of a value boundary problem with L^1 data with truncation and epicon-vergence method.Referencias
1. H. Attouch, Variational Convergence for Functions and Operators, Pitman (London) 1984.
2. P. Bénilan, L. Boccardo, T. Gallouet, R. Gariepy, M. Pierre, J.L. Vazquez, An L1 theory of existence and uniqueness of solutions of nonlinear elliptic equations, Annali Sc. Norm. Sup. Pisa, 22 (1995), 241-273.
3. L. Boccardo, Positive solutions for some quasilinear elliptic equations with natural growths, Atti Accad. Naz. Lincei 11 (2000), 31-39
4. L. Boccardo, L. Orsina, Existence results for Dirichlet problems in L1 via Minty’s lemma, Appl. Anal. 76 (2000), 309-317
5. H. Brezis, Analyse fonctionnelle, Théorie et Applications, Masson(1992).
6. B. Dacorognat; Direct Methods in Calculus of Variations. Applied Mathematical sciences, No. 78, Springer-Verlag, Berlin, 1989.
7. E. De Giorgi, Convergence problems for functions and operators. Proceedings of the International Congress on "Recent Methods in Nonlinear analysis", Rome 1978. De Giorgi, Mosco, Spagnolo Eds. Pitagora Editrice (Bologna) 1979.
2. P. Bénilan, L. Boccardo, T. Gallouet, R. Gariepy, M. Pierre, J.L. Vazquez, An L1 theory of existence and uniqueness of solutions of nonlinear elliptic equations, Annali Sc. Norm. Sup. Pisa, 22 (1995), 241-273.
3. L. Boccardo, Positive solutions for some quasilinear elliptic equations with natural growths, Atti Accad. Naz. Lincei 11 (2000), 31-39
4. L. Boccardo, L. Orsina, Existence results for Dirichlet problems in L1 via Minty’s lemma, Appl. Anal. 76 (2000), 309-317
5. H. Brezis, Analyse fonctionnelle, Théorie et Applications, Masson(1992).
6. B. Dacorognat; Direct Methods in Calculus of Variations. Applied Mathematical sciences, No. 78, Springer-Verlag, Berlin, 1989.
7. E. De Giorgi, Convergence problems for functions and operators. Proceedings of the International Congress on "Recent Methods in Nonlinear analysis", Rome 1978. De Giorgi, Mosco, Spagnolo Eds. Pitagora Editrice (Bologna) 1979.
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2015-06-01
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