Sign-changing tower of bubbles to an elliptic subcritical equation-Reference-Cited by-同舟云学术

Sign-changing tower of bubbles to an elliptic subcritical equation

Published:2019-10-10 Issue:07 Volume:21 Page:1850052
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Dammak Yessine¹,Ghoudi Rabeh²

Affiliation:

1. Sfax University, Sfax business School, BP 1081, 3018 Sfax, Tunisia

2. Université de Gabès, Faculté des Sciences, Cité El Riadh, Gabès, Tunisia

Abstract

This paper is concerned with the following nonlinear elliptic problem involving nearly critical exponent [Formula: see text]: [Formula: see text] in [Formula: see text], [Formula: see text] on [Formula: see text], where [Formula: see text] is a bounded smooth domain in [Formula: see text], [Formula: see text], [Formula: see text] is a small positive parameter. As [Formula: see text] goes to zero, we construct a solution with the shape of a tower of sign changing bubbles.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199718500529

Reference21 articles.

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2. Recent Progress in Conformal Geometry

3. Critical Point Theory on Partially Ordered Hilbert Spaces

4. A note on additional properties of sign changing solutions to superlinear elliptic equations

5. On a biharmonic equation involving nearly critical exponent

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