Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0979.34015
De Coster, C.; Sanchez, L.
Upper and lower solutions, Ambrosetti-Prodi problem and positive solutions for fourth order O. D. E. (English)
[J] Riv. Mat. Pura Appl. 14, 57-82 (1994). ISSN 1121-7111

Summary: The authors study the method of upper and lower solutions for the fourth-order equation $u^{(4)}= f(t,u)$ with the boundary conditions $u(0)= 0= u(\pi)$, $u''(0)= 0= u''(\pi)$. This is used to derive results for the corresponding Ambrosetti-Prodi problem. Also, the multiplicity of positive solutions is studied in the case of ``oscillating'' nonlinearity. Variational methods are used throughout.

MSC 2000:: *34B18 Positive solutions of nonlinear boundary value problems
34B15 Nonlinear boundary value problems of ODE

Keywords: Ambrosetti-Prodi problem; positive solutions

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]