20 citations · 110 across the 70 of their papers we have counts for
7 papers · 1 filter
Self-generated interior blow-up solutions in fractional elliptic equation with absorption
Huyuan Chen, Patricio Felmer, Alexander Quaas
In this paper we study positive solutions to problem involving the fractional Laplacian , subject to the conditions…
Large solutions to elliptic equations involving fractional Laplacian
Huyuan chen, Patricio Felmer, Alexander Quaas
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 be…
Sharp embedding of Sobolev spaces involving general kernels and its application
Huyuan Chen, Hichem Hajaiej
The purpose of this paper is to extend the embedding theorem of Sobolev spaces involving general kernels and we provide a sharp critical exponent in these embeddings. As an applica…
Semilinear fractional elliptic equations with gradient nonlinearity involving measures
Huyuan Chen, Laurent Veron
We study the existence of solutions to the fractional elliptic equation (E1) in a bounded regular domain of , subject to the condition…
Weak and strong singular solutions of semilinear fractional elliptic equations
Huyuan Chen, Laurent Veron
Let , and be a bounded domain containing . If is the Dirac measure at and , we prove that the weakly sin…
Semilinear fractional elliptic equations involving measures
Huyuan Chen, Laurent Veron
We study the existence of weak solutions of (E) in a bounded regular domain in which vanish on , where denotes the fra…