Large solutions to elliptic equations involving fractional Laplacian

By Huyuan Chen, Patricio Felmer, Alexander Quaas. 2013

86 citations recorded by the source corpus.

In this article, we study the boudary blow-up solutions for semilinear fractional equations with power absorption. Our main purpose is to obtain the existence, nonuniqueness and behavior asymptotic near the boundary.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/9a8d6dea920547b8875e13d2c3041bb8d7b53d72

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Nicola Abatangelo
2. Louis Dupaigne
3. Xavier Ros-Oton
4. Gerd Grubb
5. M. Fall
6. Enrico Valdinoci
7. Tobias Weth

In Computational Theory and Mathematics

1. Nicola Abatangelo
2. Louis Dupaigne
3. Xavier Ros-Oton
4. Gerd Grubb
5. M. Fall
6. Enrico Valdinoci
7. Tobias Weth

Citations in the corpus

• Large $s$-harmonic functions and boundary blow-up solutions for the fractional Laplacian (2013, background): “[17] Patricio Felmer and Alexander Quaas.”
• Nonhomogeneous boundary conditions for the spectral fractional Laplacian (2015, background): “If one replaces the spectral fractional Laplacian by the classical fractional Laplacian (−△), then an analogous of Theorem 9 holds for p ∈ ( 1 + 2s, 1 + s 1− s ) , see [2], as well as the pioneering works of Felmer and Quaas and Chen, Felmer and Quaas [9, 13].”