Positive Solutions for Classes of Multiparameter Elliptic Semipositone Problems

Authors

Scott Caldwell, Mississippi State University
Alfonso Castro, Harvey Mudd CollegeFollow
Ratnasingham Shivaji, Mississippi State University
Sumalee Unsurangsie, Mahidol University

Document Type

Article

Department

Mathematics (HMC)

Publication Date

6-2007

Abstract

We study positive solutions to multiparameter boundary-value problems of the form

-Δu = λg(u)+μf(u) in Ω

u = 0 on ∂Ω

where λ>0, μ>0, Ω⊆Rⁿ; n≥2 is a smooth bounded domain with ∂Ω in class C² and Δ is the Laplacian operator. In particular, we assume g(0)>0 and superlinear while f(0)

Rights Information

© 2007 Texas State University - San Marcos

Recommended Citation

Caldwell, Scott; Castro, Alfonso; Shivaji, Ratnasingham; and Unsurangsie, Sumalee, "Positive Solutions for Classes of Multiparameter Elliptic Semipositone Problems" (2007). All HMC Faculty Publications and Research. 476.
https://scholarship.claremont.edu/hmc_fac_pub/476