Khanh Duc Chu, Dang Dinh Hai
We prove the existence of positive classical solutions for the p-Laplacian problem
where , , is a Caratheodory function satisfying
uniformly for a.e. , where denotes the principal eigenvalue of with Sturm-Liouville boundary conditions. Our result extends a previous work by Manasevich, Njoku, and Zanolin to the Sturm-Liouville boundary conditions with more general operator.
Submitted February 12, 2018. Published April 17, 2018.
Math Subject Classifications: 34B15, 34B18.
Key Words: p-Laplacian; superlinear; positive solutions.
Show me the PDF file (270 KB), TEX file for this article.
| Khanh Duc Chu |
Faculty of Mathematics and Statistics
Ton Duc Thang University
Ho chi Minh City, Vietnam
| Dang Dinh Hai |
Department of Mathematics and Statistics
Mississippi state University
Mississippi State, MS 39762, USA
Return to the EJDE web page