Problems involving p -Laplacian type equations and measures

Tero Kilpeläinen

Mathematica Bohemica (2002)

  • Volume: 127, Issue: 2, page 243-250
  • ISSN: 0862-7959

Abstract

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In this paper I discuss two questions on p -Laplacian type operators: I characterize sets that are removable for Hölder continuous solutions and then discuss the problem of existence and uniqueness of solutions to - div ( | ∇ u | p - 2 ∇ u ) = μ with zero boundary values; here μ is a Radon measure. The joining link between the problems is the use of equations involving measures.

How to cite

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Kilpeläinen, Tero. "Problems involving $p$-Laplacian type equations and measures." Mathematica Bohemica 127.2 (2002): 243-250. <http://eudml.org/doc/249064>.

@article{Kilpeläinen2002,
abstract = {In this paper I discuss two questions on $p$-Laplacian type operators: I characterize sets that are removable for Hölder continuous solutions and then discuss the problem of existence and uniqueness of solutions to $-\operatorname\{div\}(|\nabla u|^\{p-2\}\nabla u)=\mu $ with zero boundary values; here $\mu $ is a Radon measure. The joining link between the problems is the use of equations involving measures.},
author = {Kilpeläinen, Tero},
journal = {Mathematica Bohemica},
keywords = {$p$-Laplacian; removable sets; -Laplacian; removable sets},
language = {eng},
number = {2},
pages = {243-250},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Problems involving $p$-Laplacian type equations and measures},
url = {http://eudml.org/doc/249064},
volume = {127},
year = {2002},
}

TY - JOUR
AU - Kilpeläinen, Tero
TI - Problems involving $p$-Laplacian type equations and measures
JO - Mathematica Bohemica
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 127
IS - 2
SP - 243
EP - 250
AB - In this paper I discuss two questions on $p$-Laplacian type operators: I characterize sets that are removable for Hölder continuous solutions and then discuss the problem of existence and uniqueness of solutions to $-\operatorname{div}(|\nabla u|^{p-2}\nabla u)=\mu $ with zero boundary values; here $\mu $ is a Radon measure. The joining link between the problems is the use of equations involving measures.
LA - eng
KW - $p$-Laplacian; removable sets; -Laplacian; removable sets
UR - http://eudml.org/doc/249064
ER -

References

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