Differential and Integral Equations

Concentrating solutions for a sub-critical sub-elliptic problem

Ali Maalaoui, Vittorio Martino, and Angela Pistoia

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Abstract

In this paper we prove the existence of concentrating solutions for a slightly sub-critical problem involving the Kohn Laplacian on a bounded domain of the Heisenberg group, under the assumption that the Robin's function of the domain has a non-degenerate critical point.

Article information

Source
Differential Integral Equations, Volume 26, Number 11/12 (2013), 1263-1274.

Dates
First available in Project Euclid: 4 September 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1378327425

Mathematical Reviews number (MathSciNet)
MR3129008

Zentralblatt MATH identifier
1313.35079

Subjects
Primary: 35J20, 35B33, 35H20 35J20, 35B33, 35H20 35J20, 35B33, 35H20

Citation

Maalaoui, Ali; Martino, Vittorio; Pistoia, Angela. Concentrating solutions for a sub-critical sub-elliptic problem. Differential Integral Equations 26 (2013), no. 11/12, 1263--1274. https://projecteuclid.org/euclid.die/1378327425


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