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- W1972682717 abstract "Let u be a solution of the equation −Δu = V(x) eu in a domain Ω ⊂ R2 where 0 ≤ a < V ≤ b and V is Lipschitz continuous. We prove that sup u can be controlled in terms of inf u. More precisely, supKu + infΩu ≤ C(a, b, K, Ω, ||∇ V||L∞) for any compact subset K⊂Ω. This extends an earlier result of Shafrir who obtained a similar conclusion when V≡1." @default.
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- W1972682717 date "1993-08-01" @default.
- W1972682717 modified "2023-10-18" @default.
- W1972682717 title "A sup + inf Inequality for Some Nonlinear Elliptic Equations Involving Exponential Nonlinearities" @default.
- W1972682717 doi "https://doi.org/10.1006/jfan.1993.1094" @default.
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