A “maximum principle for semicontinuous functions” applicable to integro-partial differential equations
- First Online:
- Cite this article as:
- Jakobsen, E.R. & Karlsen, K.H. Nonlinear differ. equ. appl. (2006) 13: 137. doi:10.1007/s00030-005-0031-6
- 271 Downloads
We formulate and prove a non-local “maximum principle for semicontinuous functions” in the setting of fully nonlinear and degenerate elliptic integro-partial differential equations with integro operators of second order. Similar results have been used implicitly by several researchers to obtain compare/uniqueness results for integro-partial differential equations, but proofs have so far been lacking.