Existence and uniqueness results for large solutions of general nonlinear elliptic equations
- Cite this article as:
- Marcus, M. & Véron, L. J. evol. equ. (2003) 3: 637. doi:10.1007/s00028-003-0122-y
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We study under what condition there exists a solution of -Δu+f(u)=0 in a domain Ω which blows-up on the boundary, independently of the regularity of the boundary, and we provide criteria for uniqueness. We apply our results to the case f(u)= eau.