Nonlinear elliptic equations in ℝN with "absorbing" zero order terms

Advances in Differential Equations

Volumn 5, Issue 4-6, 2000, Pages 681-722

  Leoni, Fabiana ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

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EID: 33645129142     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. N without condition at infinity, Appl. Math. Optim., 12 (1984), 271-282.
2. H. Brezis and F.E. Browder, Some properties of higher order Sobolev spaces, J. Math. Pures Appl., 61 (1982), 245-259.
3. P. Bénilan, L. Boccardo, T. Gallouët, R. Gariepy, M. Pierre, and J.L. Vazquez, An L1-theory of existence and uniqueness of solutions of nonlinear elliptic equations, Ann. Scuola Norm. Sup. Pisa cl. Sci., 22 (1995), 240-273.
4. A. Bensoussan, J.L. Lions,and G. Papanicolaou, "Asymptotic Analysis for Periodic Structures," North-Holland, Amsterdam, New York.
5. L. Boccardo and T. Gallouët, Nonlinear elliptic equations with right hand side measures, Comm. in PDE, 17 (1992), 641-655.
6. L. Boccardo, T. Gallouët, and J.L. Vazquez, Nonlinear elliptic equations in RN without growth conditions on the data, J. Differential Equations, 105 (1993), 334- 363.
7. L. Boccardo, F. Murat, and J.P. Puel, Existence de solutions faibles pour des équations elliptiques quasi linéaires à croissance quadratique, in "Nonlinear Partial Differential Equations and Their Applications," Collège de France Seminar, Vol. IV, (H. Brezis and J.L. Lions, eds.), Res. Notes in Math., 84, Pitman, London (1983), 19-73.
8. L. Boccardo, F. Murat, and J.P. Puel, Existence of bounded solutions for nonlinear elliptic unilateral problems, Ann. Mat. Pura Appl., 152 (1988), 749-752.
9. ∞ estimate for some nonlinear elliptic equations and application to an existence result, SIAM J. Math. Anal., 23 (1992), 326-333.
10. α-1u = f, for 0 ≤ α ≤ 1, Nonlinear Anal., 11 (1987), 893-912.
11. M. Giaquinta and G. Modica, Regularity results for some classes of higher order nonlinear elliptic system, J. Reine Angew. Math., 311-312 (1979), 145-169.
12. E. Giarrusso and G. Trombetti, Estimates for solutions of elliptic equations in a limit case, Bull. Austr. Math. Soc., 36 (1987), 425-434.
13. N.G. Meyers and A. Elcrat, Some results on regularity for solutions of nonlinear elliptic systems and quasi-regular functions, Duke Math. J., 42 (1975), 121-136.
14. 1 with "absorbing" nonlinearity, Houston J. Math., 12 (1986), 405-409.
15. 1 data, Rend. Sem. Mat. Univ. Padova, 90 (1993), 207-238.
16. G. Stampacchia, Equations elliptiques du second ordre à coefficients discontinus, Séminaires de Mathématiques Supérieures, 16, Les Presses de l'Université de Montréal, Montréal, 1966.
17. J.L. Vazquez, An a priori estimate for the solutions of a non-linear problem representing weak diffusion, Nonlinear Anal., 5 (1981), 95-103.