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Existence and uniqueness of solutions for quasilinear elliptic systems
Author(s):
D.
D.
Hai
Journal:
Proc. Amer. Math. Soc.
133
(2005),
223-228.
MSC (2000):
Primary 35J25, 35J70
Posted:
July 26, 2004
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Abstract:
We obtain necessary and sufficient conditions for the existence of positive solutions for a class of sublinear Dirichlet quasilinear elliptic systems.
References:
-
- 1.
- H. Brezis and S. Kamin, Sublinear elliptic equations in
 , Manuscripta Math. 74 (1992), 87-106. MR 93f:35062 - 2.
- R. Dalmasso, Existence and uniqueness of positive solutions of semilinear elliptic systems, Nonlinear Anal. 39 (2000), 559-568. MR 2001d:35062
- 3.
- D. Gilbarg and N. S. Trudinger, Elliptic partial differential equations of second order, Springer, Berlin, 1977. MR 57:13109
- 4.
- D. D. Hai and R. Shivaji, An existence result on positive solutions for a class of semilinear elliptic systems, Proc. Roy. Soc. Edinburgh 134 A (2004), 137-141.
- 5.
- G. M. Liberman, Boundary regularity for solutions of degenerate elliptic equations, Nonlinear Anal. 12 (1988), 1203-1219. MR 90a:35098
- 6.
- M. A. Krasnoselskii, Positive solutions of operator equations, Noordhoff, Groningen, 1964. MR 31:6107
- 7.
- J. l. Vazquez, A strong maximum principle for some quasilinear elliptic equations, Appl. Math. Optim. 12 (1984), 191-202. MR 86m:35018
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Additional Information:
D.
D.
Hai
Affiliation:
Department of Mathematics, Mississippi State University, Mississippi State, Mississippi 39762
Email:
dangera.msstate.edu
DOI:
10.1090/S0002-9939-04-07602-6
PII:
S 0002-9939(04)07602-6
Keywords:
Uniqueness,
quasilinear elliptic systems,
positive solutions
Received by editor(s):
September 30, 2003
Posted:
July 26, 2004
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2004,
American Mathematical Society
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