Bounded Positive Solutions of Quasilinear Schrödinger Equations
- 1 January 1983
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 14 (3) , 179-190
- https://doi.org/10.1080/00036818308839421
Abstract
Quasilinear differential equations (1) are considered in exterior domains , where Δn is the n-dimensional Laplacian and f satisfies non-negativity, continuity, and monotony hypotheses. Necessary and sufficient conditions on f are found for the existence of uniformly positive bounded solutions of (1) in , and corresponding theorems for n≧3. Although the emphasis is on partial differential equations, the conclusions are new even in the case n= 1. AMS(MOS) 35B35, 35B05 Secondary: 35J10, 35J60, 35A05Keywords
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