ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR NONLINEAR ELLIPTIC PROBLEMS WITH THE FRACTIONAL LAPLACIAN

By Woocheol Choi, Seunghye Kim, Ki-Ahm Lee. 2013

104 citations recorded by the source corpus.

Abstract In this paper we study the asymptotic behavior of least energy solutions and the existence of multiple bubbling solutions of nonlinear elliptic equations involving the fractional Laplacians and the critical exponents. This work can be seen as a nonlocal analog of the results of Han (1991) [24] and Rey (1990) [35] .

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/b50d959b14fd21979df05bee8478afe63a50f5e8

How researchers see this paper

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In Applied Mathematics

1. Enrico Valdinoci
2. Serena Dipierro
3. María Medina
4. I. Peral
5. Manuel del Pino
6. J. D'avila
7. P. Garain
8. Vicentiu D. Rădulescu

In Computational Theory and Mathematics

1. Serena Dipierro
2. María Medina
3. Enrico Valdinoci
4. I. Peral
5. Manuel del Pino
6. J. D'avila
7. Vicentiu D. Rădulescu
8. A. Fiscella

Citations in the corpus

• Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum (2014, background): “Concentrating solutions for fractional problems involving critical or almost critical exponents were considered in [Choi et al. 2014].”
• Bifurcation results for a fractional elliptic equation with critical exponent in R^n (2014, background): “re the authors constructed solutions that concentrate at the interior of the domain. Concentrating solutions for fractional problems involving critical or almost critical exponents were considered in [13]. See also [11] for some concentration phenomena in particular cases and [34] for the study of t”