Nonlinear systems of elliptic equations with natural growth conditions and sign conditions

Applied Mathematics and Optimization

Volumn 46, Issue 2-3, 2002, Pages 143-166

  Bensoussan, Alain ^a,b   Boccardo, Lucio ^c  

^a UNIVERSITÉ PARIS DAUPHINE   (France)

^b CNES   (France)

^c SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; FUNCTIONS; LAPLACE TRANSFORMS; LINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

BOUNDED OPEN SUBSET; ELLIPTIC EQUATIONS; LAPLACE EQUATIONS;

NONLINEAR EQUATIONS;

EID: 0142007891     PISSN: 00954616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00245-002-0753-3     Document Type: Article

References (10)

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2. A. Bensoussan, J. Frehse, Topics on Nonlinear Partial Differential Equations and Applications, Springer-Verlag, Berlin, to appear.
3. L. Boccardo, Positive solutions for some quasilinear elliptic equations with natural growths, Atti Accad. Naz. Lincei 11 (2000), 31-39.
4. L. Boccardo, T. Gallouët, Nonlinear elliptic equations with right-hand side measures, Comm. Partial Differential Equations 17 (1992), 641-655.
5. 1 data, Nonlinear Anal. TMA 19 (1992), 573-579.
6. L. Boccardo, T. Gallouët, F. Murat, A unified presentation of two existence results for problems with natural growth, in Progress in PDE, the Metz Surveys 2 (M. Chipot, editor), Research Notes in Mathematics 296, Longman, London, 1993, 127-137.
7. L. Boccardo, F. Murat, J.P. Puel, Existence de solutions non bornèes pour certaines equations quasi linèaires, Portugal. Math. 41 (1982), 507-534.
8. L. Boccardo, F. Murat, J.P. Puel, Existence of bounded solutions for nonlinear elliptic unilateral problems, Ann. Mat. Mura Appl. 152 (1988), 183-196.
9. R. Landes, On the existence of weak solutions of perturbated systems with critical growth, J. Reine Angew. Math. 393 (1989), 21-38.
10. J. Leray, J.L. Lions, Quelques résultats de Višik sur les problèmes elliptiques semi-linéaires par les méthodes de Minty et Browder, Bull. Soc. Math. France 93 (1965), 97-107.