Differential and Integral Equations

Critical growth quasilinear elliptic problems with shifting subcritical perturbation

Filippo Gazzola

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Abstract

We consider a family of quasilinear elliptic problems on bounded domains with perturbed critical growth term; we prove the existence of nontrivial solutions when the perturbation depends on a parameter which forces the solutions to have a suitable behavior in order to interact with it. We also study the behavior of the solutions for varying parameter, and we show that concentration phenomena appear as the parameter tends to infinity.

Article information

Source
Differential Integral Equations, Volume 14, Number 5 (2001), 513-528.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356123254

Mathematical Reviews number (MathSciNet)
MR1824741

Zentralblatt MATH identifier
1030.35076

Subjects
Primary: 35J70: Degenerate elliptic equations
Secondary: 35B20: Perturbations 35J20: Variational methods for second-order elliptic equations 35J60: Nonlinear elliptic equations

Citation

Gazzola, Filippo. Critical growth quasilinear elliptic problems with shifting subcritical perturbation. Differential Integral Equations 14 (2001), no. 5, 513--528. https://projecteuclid.org/euclid.die/1356123254


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