Upper and lower solutions for the singular p-Laplacian with sign changing nonlinearities and nonlinear boundary data

Journal of Computational and Applied Mathematics

Volumn 181, Issue 2, 2005, Pages 442-466

  Lü, Haishen ^a   O'Regan, Donal ^b   Agarwal, Ravi P ^c  

^a HOHAI UNIVERSITY   (China)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

^c Florida Institute of Technology ^*  (United States)

Author keywords

One dimensional p Laplacian; Positive solution; Upper and lower solution

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; THEOREM PROVING;

LAPLACIAN EQUATIONS; POSITIVE SOLUTION; UPPER AND LOWER SOLUTION;

DIFFERENTIAL EQUATIONS;

EID: 19144362782     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2004.11.037     Document Type: Article

References (4)

1. D. O'Regan Upper and lower solutions for singular problems arising in the theory of membrane response of a spherical cap Nonlinear Anal. 47 2001 1163-1174
2. H. Lü C. Zhong A note on singular nonlinear boundary value problems for the one-dimensional p -Laplacian Appl. Math. Lett. 14 2001 189-194
3. H. Lü, D. O'Regan, R.P. Agarwal, Existence theorems for the one-dimensional singular p -Laplacian equation with a nonlinear boundary condition, J. Comput. Appl. Math., to appear, doi: 10.1016/j.cam.2004.10.022.
4. J. Wang W. Gao A singular boundary value problem for the one-dimensional p -Laplacian J. Math. Anal. Appl. 201 1996 851-866