Positive solutions for semilinear elliptic equations in annular domains

Nonlinear Analysis, Theory, Methods and Applications

Volumn 37, Issue 8, 1999, Pages 1051-1058

  Hai, D D ^a  

^a MISSISSIPPI STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; GREEN'S FUNCTION; INTEGRATION; MAXIMUM PRINCIPLE; PROBLEM SOLVING; THEOREM PROVING;

ANNULAR DOMAINS; POSITIVE SOLUTIONS; SEMILINEAR ELLIPTIC EQUATIONS;

NONLINEAR EQUATIONS;

EID: 0033196943     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(98)00029-7     Document Type: Article

References (7)

1. C. Bandle, L.A. Peletier, Nonlinear elliptic problems with critical exponent in shrinking annuli, Math. Ann. 280 (1988) 1-19.
2. H. Brezis, Analyse Fonctionnelle, Theorie Et Applications, Masson, Paris, 1983.
3. H. Dang, K. Schmitt, Existence of positive radial solutions for semilinear elliptic equations in annular domains, Diff. Int. Eqns. 7 (1994) 747-758.
4. H. Dang, K. Schmitt, R. Shivaji, On the number of solutions of boundary value problems involving the P-Laplacian, Electronic J. Diff. Eqns. 1 (1996) 1-9.
5. D. Gilbarg, N.S. Trudinger, Elliptic Partial Differential Equations Of Second Order, Springer, New York, 1977.
6. M.G. Lee, S.S. Lin, On the positive solutions for semilinear elliptic equations on annular domain with non-homogenuous dirichlet boundary conditions, J. Math. Anal. Appl. 181 (1994) 348-361.
7. D.H. Sattinger, Monotone methods in nonlinear elliptic and parabolic boundary problem, Indiana Univ. Math. J. 21 (1972) 979-1000.