Nonexistence of Solutions for Quasilinear Elliptic Equations with p-growth in the Gradient

Date

2002-06-11

Authors

Zubrinic, Darko

Journal Title

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Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

We study the nonexistence of weak solutions in W1,p loc (Ω) for a class of quasilinear elliptic boundary-value problems with natural growth in the gradient. Nonsolvability conditions involve general domains with possible singularities of the right-hand side. In particular, we show that if the data on the right-hand side are sufficiently large, or if inner radius of Ω is large, then there are no weak solutions.

Description

Keywords

Quasilinear elliptic, Existence, Nonexistence, Geometry of domains

Citation

Zubrinic, D. (2002). Nonexistence of solutions for quasilinear elliptic equations with p-growth in the gradient. <i>Electronic Journal of Differential Equations, 2002</i>(54), pp. 1-8.

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Attribution 4.0 International

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