A note on discontinuous problem with a free boundary
We study a nonlinear elliptic problem with discontinuous nonlinearity (P)-Δu=f(u)H(μ-u)inΩ,u=0on∂Ω, where H is the Heaviside’s unit function, f, h are given functions and μ is a positive real parameter. We prove the existence of a unique solution and characterize the corresponding free boundary. Our...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2011-04-01
|
| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X11000058 |