On ground state solutions for singular and semi-linear problems including super-linear terms at infinity |
| |
Authors: | CA Santos |
| |
Institution: | Departamento de Matemática, Universidade de Brasília, Campus Darcy Ribeiro, ICC, Asa Norte, 70910-900, Brasília-DF, Brazil |
| |
Abstract: | We establish a result concerning the existence of entire, positive, classical and bounded solutions which converge to zero at infinity for the semi-linear equation −Δu=λf(x,u),x∈RN, where f:RN×(0,∞)→0,∞) is a suitable function and λ>0 is a real parameter. This result completes the principal theorem of A. Mohammed A. Mohammed, Ground state solutions for singular semi-linear elliptic equations, Nonlinear Analysis (2008) doi:10.1016/j.na.2008.11.080] mainly because his result does not address the super-linear terms at infinity. Penalty arguments, lower-upper solutions and an approximation procedure will be used. |
| |
Keywords: | 35J25 35J20 35J67 |
本文献已被 ScienceDirect 等数据库收录! |
|