Electron. J. Diff. Equ., Vol. 2016 (2016), No. 78, pp. 1-12.

Multiple solutions for p-Laplacian problems involving general subcritical growth in bounded domains

Nguyen Thanh Chung, Pham Hong Minh, Tran Hong Nga

Abstract:
Using variational methods, we study the existence of multiple solutions for a class of p-Laplacian problems with concave-convex nonlinearities in bounded domains. Our result improves those in [8,9] stated only for subcritical growth.

Submitted February 26, 2016. Published March 18, 2016.
Math Subject Classifications: 35D05, 35J60.
Key Words: p-Laplacian problems; general subcritical growth; concave-convex nonlinearities; variational method.

Show me the PDF file (229 KB), TEX file for this article.

Nguyen Thanh Chung
Department of Mathematics, Quang Binh University
312 Ly Thuong Kiet, Dong Hoi
Quang Binh, Viet Nam
email: ntchung82@yahoo.com
Pham Hong Minh
Department of Mathematics, Quang Binh University
312 Ly Thuong Kiet, Dong Hoi
Quang Binh, Viet Nam
email: phamhongminh24@gmail.com
Tran Hong Nga
Department of Mathematics, Quang Binh University
312 Ly Thuong Kiet, Dong Hoi
Quang Binh, Viet Nam
email: tranhongnga0209@gmail.com

Return to the EJDE web page