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- W2185157060 abstract "Let D be an unbounded domain in R n (n 2) with a nonempty compact boundary @D. We consider the following nonlinear elliptic problem, in the sense of distributions, u = f(.,u), u > 0 in D, u ˛ @D = ', lim |x|!+1 u(x) h(x) = , where , , are nonnegative constants with + > 0 and ' is a nontrivial nonnegative continuous function on @D. The function f is nonnegative and satisfies some appropriate conditions related to a Kato class of functions, and h is a fixed harmonic function in D, continuous on D. Our aim is to prove the existence of positive continuous solutions bounded below by a harmonic func- tion. For this aim we use the Schauder fixed-point argument and a potential theory approach." @default.
- W2185157060 created "2016-06-24" @default.
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- W2185157060 date "2005-12-08" @default.
- W2185157060 modified "2023-09-23" @default.
- W2185157060 title "EXISTENCE OF POSITIVE SOLUTIONS FOR NONLINEAR BOUNDARY-VALUE PROBLEMS IN UNBOUNDED DOMAINS OF R n" @default.
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