Existence and multiplicity results for semilinear elliptic equations at resonance

Yue Tang; Chun-Lei Tang; Xing-Ping Wu

doi:10.36045/bbms/1400592631

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Home > Journals > Bull. Belg. Math. Soc. Simon Stevin > Volume 21 > Issue 2 > Article

may 2014 Existence and multiplicity results for semilinear elliptic equations at resonance

Yue Tang, Chun-Lei Tang, Xing-Ping Wu

Bull. Belg. Math. Soc. Simon Stevin 21(2): 365-378 (may 2014). DOI: 10.36045/bbms/1400592631

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Abstract

In this paper, the existence and multiplicity results for semilinear elliptic equations at resonance are obtained by the minimax methods and Morse theory.

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Yue Tang. Chun-Lei Tang. Xing-Ping Wu. "Existence and multiplicity results for semilinear elliptic equations at resonance." Bull. Belg. Math. Soc. Simon Stevin 21 (2) 365 - 378, may 2014. https://doi.org/10.36045/bbms/1400592631

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Published: may 2014

First available in Project Euclid: 20 May 2014

zbMATH: 1295.35230

MathSciNet: MR3211022

Digital Object Identifier: 10.36045/bbms/1400592631

Subjects:

Primary: 35J20 , 35J25 , 35J61

Keywords: Double resonance , Local Linking , Morse theory , Mountain Pass Lemma , Nonquadratic at infinity , Saddle point theorem

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Bull. Belg. Math. Soc. Simon Stevin

Vol.21 • No. 2 • may 2014

The Belgian Mathematical Society

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Yue Tang, Chun-Lei Tang, Xing-Ping Wu "Existence and multiplicity results for semilinear elliptic equations at resonance," Bulletin of the Belgian Mathematical Society - Simon Stevin, Bull. Belg. Math. Soc. Simon Stevin 21(2), 365-378, (may 2014)

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