On existence of a unique generalized solution to systems of elliptic PDEs at resonance

Tiantian Qiao; Weiguo Li; Kai Liu; Boying Wu

Annales Polonici Mathematici (2014)

  • Volume: 110, Issue: 1, page 25-31
  • ISSN: 0066-2216

Abstract

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The Dirichlet boundary value problem for systems of elliptic partial differential equations at resonance is studied. The existence of a unique generalized solution is proved using a new min-max principle and a global inversion theorem.

How to cite

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Tiantian Qiao, et al. "On existence of a unique generalized solution to systems of elliptic PDEs at resonance." Annales Polonici Mathematici 110.1 (2014): 25-31. <http://eudml.org/doc/280916>.

@article{TiantianQiao2014,
abstract = {The Dirichlet boundary value problem for systems of elliptic partial differential equations at resonance is studied. The existence of a unique generalized solution is proved using a new min-max principle and a global inversion theorem.},
author = {Tiantian Qiao, Weiguo Li, Kai Liu, Boying Wu},
journal = {Annales Polonici Mathematici},
keywords = {elliptic system; generalized solution; uniqueness; resonance; min-max principle; global inversion theorem},
language = {eng},
number = {1},
pages = {25-31},
title = {On existence of a unique generalized solution to systems of elliptic PDEs at resonance},
url = {http://eudml.org/doc/280916},
volume = {110},
year = {2014},
}

TY - JOUR
AU - Tiantian Qiao
AU - Weiguo Li
AU - Kai Liu
AU - Boying Wu
TI - On existence of a unique generalized solution to systems of elliptic PDEs at resonance
JO - Annales Polonici Mathematici
PY - 2014
VL - 110
IS - 1
SP - 25
EP - 31
AB - The Dirichlet boundary value problem for systems of elliptic partial differential equations at resonance is studied. The existence of a unique generalized solution is proved using a new min-max principle and a global inversion theorem.
LA - eng
KW - elliptic system; generalized solution; uniqueness; resonance; min-max principle; global inversion theorem
UR - http://eudml.org/doc/280916
ER -

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