Differential and Integral Equations

Multiple solutions for a singular elliptic problem involving Hardy terms on unbounded domains

Haining Fan

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Abstract

In this paper, we study the multiplicity results of solutions for a class of quasi-linear problems involving singular weights and Hardy terms on unbounded domains. With the help of the variational method and the theory of genus, we prove that the problem admits infinitely many solutions under different conditions.

Article information

Source
Differential Integral Equations, Volume 27, Number 9/10 (2014), 821-836.

Dates
First available in Project Euclid: 1 July 2014

Permanent link to this document
https://projecteuclid.org/euclid.die/1404230047

Mathematical Reviews number (MathSciNet)
MR3229093

Zentralblatt MATH identifier
1340.35073

Subjects
Primary: 35J20: Variational methods for second-order elliptic equations 35J62: Quasilinear elliptic equations 35J75: Singular elliptic equations

Citation

Fan, Haining. Multiple solutions for a singular elliptic problem involving Hardy terms on unbounded domains. Differential Integral Equations 27 (2014), no. 9/10, 821--836. https://projecteuclid.org/euclid.die/1404230047


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