Multiplicity of solutions for the noncooperative p-laplacian operator elliptic system with nonlinear boundary conditions

Sihua Liang; Jihui Zhang

ESAIM: Control, Optimisation and Calculus of Variations (2012)

  • Volume: 18, Issue: 4, page 930-940
  • ISSN: 1292-8119

Abstract

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In this paper, we study the multiplicity of solutions for a class of noncooperative p-Laplacian operator elliptic system. Under suitable assumptions, we obtain a sequence of solutions by using the limit index theory.

How to cite

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Liang, Sihua, and Zhang, Jihui. "Multiplicity of solutions for the noncooperative p-laplacian operator elliptic system with nonlinear boundary conditions." ESAIM: Control, Optimisation and Calculus of Variations 18.4 (2012): 930-940. <http://eudml.org/doc/272810>.

@article{Liang2012,
abstract = {In this paper, we study the multiplicity of solutions for a class of noncooperative p-Laplacian operator elliptic system. Under suitable assumptions, we obtain a sequence of solutions by using the limit index theory.},
author = {Liang, Sihua, Zhang, Jihui},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {p-laplacian operator; limit index; critical growth; concentration-compactness principle; -Laplacian operator},
language = {eng},
number = {4},
pages = {930-940},
publisher = {EDP-Sciences},
title = {Multiplicity of solutions for the noncooperative p-laplacian operator elliptic system with nonlinear boundary conditions},
url = {http://eudml.org/doc/272810},
volume = {18},
year = {2012},
}

TY - JOUR
AU - Liang, Sihua
AU - Zhang, Jihui
TI - Multiplicity of solutions for the noncooperative p-laplacian operator elliptic system with nonlinear boundary conditions
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 2012
PB - EDP-Sciences
VL - 18
IS - 4
SP - 930
EP - 940
AB - In this paper, we study the multiplicity of solutions for a class of noncooperative p-Laplacian operator elliptic system. Under suitable assumptions, we obtain a sequence of solutions by using the limit index theory.
LA - eng
KW - p-laplacian operator; limit index; critical growth; concentration-compactness principle; -Laplacian operator
UR - http://eudml.org/doc/272810
ER -

References

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