On some elliptic boundary-value problems with discontinuous nonlinearities

Giovanni Anello

Annales Polonici Mathematici (2005)

  • Volume: 86, Issue: 3, page 283-290
  • ISSN: 0066-2216

Abstract

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We establish two existence results for elliptic boundary-value problems with discontinuous nonlinearities. One of them concerns implicit elliptic equations of the form ψ(-Δu) = f(x,u). We emphasize that our assumptions permit the nonlinear term f to be discontinuous with respect to the second variable at each point.

How to cite

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Giovanni Anello. "On some elliptic boundary-value problems with discontinuous nonlinearities." Annales Polonici Mathematici 86.3 (2005): 283-290. <http://eudml.org/doc/280216>.

@article{GiovanniAnello2005,
abstract = {We establish two existence results for elliptic boundary-value problems with discontinuous nonlinearities. One of them concerns implicit elliptic equations of the form ψ(-Δu) = f(x,u). We emphasize that our assumptions permit the nonlinear term f to be discontinuous with respect to the second variable at each point.},
author = {Giovanni Anello},
journal = {Annales Polonici Mathematici},
keywords = {elliptic equations; discontinuous nonlinearities; strong solutions; differential inclusions},
language = {eng},
number = {3},
pages = {283-290},
title = {On some elliptic boundary-value problems with discontinuous nonlinearities},
url = {http://eudml.org/doc/280216},
volume = {86},
year = {2005},
}

TY - JOUR
AU - Giovanni Anello
TI - On some elliptic boundary-value problems with discontinuous nonlinearities
JO - Annales Polonici Mathematici
PY - 2005
VL - 86
IS - 3
SP - 283
EP - 290
AB - We establish two existence results for elliptic boundary-value problems with discontinuous nonlinearities. One of them concerns implicit elliptic equations of the form ψ(-Δu) = f(x,u). We emphasize that our assumptions permit the nonlinear term f to be discontinuous with respect to the second variable at each point.
LA - eng
KW - elliptic equations; discontinuous nonlinearities; strong solutions; differential inclusions
UR - http://eudml.org/doc/280216
ER -

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