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Nonexistence of Positive Solution for Quasilinear Elliptic Problems in the Half-Space

Abstract

Liouville-type results in or in the half-space might be important to obtain a priori estimates for positive solutions of associated problems in bounded domains via some procedure of blow up. In this work, we obtain a nonexistence result for the positive solution of, in the half-space.

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Correspondence to Sebastián Lorca.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Lorca, S. Nonexistence of Positive Solution for Quasilinear Elliptic Problems in the Half-Space. J Inequal Appl 2007, 065126 (2007). https://doi.org/10.1155/2007/65126

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Keywords

  • Bounded Domain
  • Elliptic Problem
  • Nonexistence Result
  • Quasilinear Elliptic Problem
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