Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024503 | Nonlinear Analysis: Real World Applications | 2017 | 13 Pages |
Abstract
In this paper we investigate infinite boundary value problems associated with the semi-linear PDE Lu=k(x)f(u) on a bounded smooth domain ΩâRn, where L is a non-divergence structure, uniformly elliptic operator with singular lower order terms. The weight k is a continuous non-negative function and f is a continuous nondecreasing function that satisfies the Keller-Osserman condition. We study a sufficient condition on k that ensures existence of a large solution u. In case the lower order terms of L are bounded, under further assumptions on f and k we establish asymptotic bounds of solutions u near the boundary âΩ and, as a consequence a uniqueness result.
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Authors
Ahmed Mohammed, Giovanni Porru,