New existence results on nonhomogeneous Sturm-Liouville type BVPs for higher-order p-Laplacian differential equations

• Autorzy: Yuji Liu
• Języki publikacji: EN

Abstrakty

EN

A class of nonlinear boundary value problems for p-Laplacian differential equations is studied. Sufficient conditions for the existence of solutions are established. The nonlinearities are allowed to be superlinear. We do not apply the Green's functions of the relevant problem and the methods of obtaining a priori bounds for solutions are different from known ones. Examples that cannot be covered by known results are given to illustrate our theorems.

Kategorie tematyczne

• 34B15: Nonlinear boundary value problems
• 34B10: Nonlocal and multipoint boundary value problems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2011
• Tom: 38
• Numer: 3
• Strony: 295-314

Daty

wydano

2011

Twórcy

autor

Yuji Liu

• Department of Mathematics, Guangdong University of Business Studies, Guangzhou 510000, P.R. China

Identyfikatory

DOI

10.4064/am38-3-3