Differential and Integral Equations

Some results on $p$-Laplace equations with a critical growth term

Gianni Arioli and Filippo Gazzola

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Abstract

Equations involving the $p$-Laplacian with a term in the critical growth range are considered. Existence results are obtained under minimal assumptions on the lower order perturbation. The problem is studied by means of variational methods; in particular, a problem with linking geometry is treated thanks to the orthogonalization technique introduced in [13].

Article information

Source
Differential Integral Equations, Volume 11, Number 2 (1998), 311-326.

Dates
First available in Project Euclid: 30 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1367341073

Mathematical Reviews number (MathSciNet)
MR1741848

Zentralblatt MATH identifier
1131.35325

Subjects
Primary: 35J70: Degenerate elliptic equations
Secondary: 35B33: Critical exponents 35J20: Variational methods for second-order elliptic equations

Citation

Arioli, Gianni; Gazzola, Filippo. Some results on $p$-Laplace equations with a critical growth term. Differential Integral Equations 11 (1998), no. 2, 311--326. https://projecteuclid.org/euclid.die/1367341073


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