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A non-existence result for nonlinear parabolic equations with singular measures as data

  • Francesco Petitta (a1)
Abstract

In this paper we prove a non-existence result for nonlinear parabolic problems with zero lower-order terms whose model is

where Δp=div(|∇u|p−2u) is the usual p-laplace operator, λ is measure concentrated on a set of zero parabolic r-capacity (1<p<r) and q is large enough.

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Proceedings of the Royal Society of Edinburgh Section A: Mathematics
  • ISSN: 0308-2105
  • EISSN: 1473-7124
  • URL: /core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics
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