Bulletin of the Belgian Mathematical Society - Simon Stevin

Existence and multiplicity results for a class of degenerate quasilinear elliptic systems

G.A. Afrouzi, N.T. Chung, and S. Mahdavi

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Abstract

In this paper, some existence and multiplicity results involving eigenvalues are established for a class of degenerate quasilinear elliptic system by using Ekeland's variational principle, the mountain pass theorem and the critical point theory.

Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 21, Number 5 (2014), 769-785.

Dates
First available in Project Euclid: 1 January 2015

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1420071853

Digital Object Identifier
doi:10.36045/bbms/1420071853

Mathematical Reviews number (MathSciNet)
MR3298477

Zentralblatt MATH identifier
1321.35059

Subjects
Primary: 35J65: Nonlinear boundary value problems for linear elliptic equations 35B30: Dependence of solutions on initial and boundary data, parameters [See also 37Cxx] 34A15

Keywords
Degenerate quasilinear elliptic systems Existence and multiplicity results Mountain pass theorem Critical point theory

Citation

Afrouzi, G.A.; Chung, N.T.; Mahdavi, S. Existence and multiplicity results for a class of degenerate quasilinear elliptic systems. Bull. Belg. Math. Soc. Simon Stevin 21 (2014), no. 5, 769--785. doi:10.36045/bbms/1420071853. https://projecteuclid.org/euclid.bbms/1420071853


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