Differential and Integral Equations

On fractional $p$-Laplacian problems with weight

Raquel Lehrer, Liliane A. Maia, and Marco Squassina

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Abstract

We investigate the existence of nonnegative solutions for a nonlinear problem involving the fractional $p$-Laplacian operator. The problem is set on a unbounded domain and compactness issues have to be handled.

Article information

Source
Differential Integral Equations, Volume 28, Number 1/2 (2015), 15-28.

Dates
First available in Project Euclid: 11 December 2014

Permanent link to this document
https://projecteuclid.org/euclid.die/1418310419

Mathematical Reviews number (MathSciNet)
MR3299115

Zentralblatt MATH identifier
1363.34009

Subjects
Primary: 34A08: Fractional differential equations 35Q40: PDEs in connection with quantum mechanics 58E05: Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirel m an) theory, etc.)

Citation

Lehrer, Raquel; Maia, Liliane A.; Squassina, Marco. On fractional $p$-Laplacian problems with weight. Differential Integral Equations 28 (2015), no. 1/2, 15--28. https://projecteuclid.org/euclid.die/1418310419


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