13 citations · 39 across the 12 of their papers we have counts for
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Existence and nonexistence of positive solutions to some fully nonlinear equation in one dimension
Patricio Felmer, Norihisa Ikoma
In this paper, we consider the existence (and nonexistence) of solutions to \[ -\mathcal{M}_{λ,Λ}^\pm (u'') + V(x) u = f(u) \quad {\rm in} \ \mathbf{R} \] where $\mathcal{M}_{λ,Λ}^…
Weak solutions of semilinear elliptic equation involving Dirac mass
Huyuan Chen, Patricio Felmer, Jianfu Yang
In this paper, we study the following elliptic problem with Dirac mass \begin{equation}\label{eq 0.1} -Δu=Vu^p+k δ_0\quad {\rm in}\quad \mathbb{R}^N, \qquad \lim_{|x|\to+\infty}u(x…
Elliptic equations involving general subcritical source nonlinearity and measures
Huyuan Chen, Patricio Felmer, Laurent Véron
In this article, we study the existence of positive solutions to elliptic equation (E1) subject to the condition (E2) $$u=\varrhoμ\quad {\r…
Uniform Equicontinuity for a family of Zero Order operators approaching the fractional Laplacian
Patricio Felmer, Erwin Topp
In this paper we consider a smooth bounded domain and a parametric family of radially symmetric kernels such that, for each , its $…
Radial symmetry of positive solutions involving the fractional Laplacian
Patricio Felmer, Ying Wang
The aim of this paper is to study radial symmetry and monotonicity properties for positive solution of elliptic equations involving the fractional Laplacian. We first consider the…
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…