Multiple solutions of semilinear elliptic systems

Yang Jianfu

Commentationes Mathematicae Universitatis Carolinae (1998)

  • Volume: 39, Issue: 2, page 257-268
  • ISSN: 0010-2628

Abstract

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We obtain in this paper a multiplicity result for strongly indefinite semilinear elliptic systems in bounded domains as well as in N .

How to cite

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Jianfu, Yang. "Multiple solutions of semilinear elliptic systems." Commentationes Mathematicae Universitatis Carolinae 39.2 (1998): 257-268. <http://eudml.org/doc/248281>.

@article{Jianfu1998,
abstract = {We obtain in this paper a multiplicity result for strongly indefinite semilinear elliptic systems in bounded domains as well as in $\mathbb \{R\}^N$.},
author = {Jianfu, Yang},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {indefinite; semilinear; elliptic system; semilinear elliptic system; multiple solutions},
language = {eng},
number = {2},
pages = {257-268},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Multiple solutions of semilinear elliptic systems},
url = {http://eudml.org/doc/248281},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Jianfu, Yang
TI - Multiple solutions of semilinear elliptic systems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 2
SP - 257
EP - 268
AB - We obtain in this paper a multiplicity result for strongly indefinite semilinear elliptic systems in bounded domains as well as in $\mathbb {R}^N$.
LA - eng
KW - indefinite; semilinear; elliptic system; semilinear elliptic system; multiple solutions
UR - http://eudml.org/doc/248281
ER -

References

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  11. Lions J.L., Magenes E., Non-homogeneous Boundary Value Problems and Applications, I, Springer-Verlag, 1972. 
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  13. Lions P.L., Symétrie et compacité dans les espaces de Sobolev, J. Funct. Anal. 49 (1982), 315-334. (1982) Zbl0501.46032MR0683027
  14. Rabinowitz P., Minimax methods in critical point theory with applications to differential equations, CBMS Regional Conf. Ser. in Math., No. 65, Amer. Math. Soc., Providence, R.I., 1986. Zbl0609.58002MR0845785
  15. Strauss W., Existence of solitary waves in higher dimensions, Comment. Math. Phys. 55 (1977), 149-162. (1977) Zbl0356.35028MR0454365

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