2 citations · 2 across the 4 of their papers we have counts for
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Convergence of semilinear parabolic flows with general initial data
Daniel Restrepo
We analyze the long-time behavior of solutions to semilinear parabolic equations in Euclidean space that arise as gradient flows of an energy functional. We prove that, for general…
Uniform stability in the Euclidean isoperimetric problem for the Allen--Cahn energy
Francesco Maggi, Daniel Restrepo
We consider the isoperimetric problem defined on the whole by the Allen--Cahn energy functional. For non-degenerate double well potentials, we prove sharp quantitati…
Existence and Morse Index of least energy nodal solution of the -laplacian
Oscar Agudelo, Daniel Restrepo, Carlos Velez
In this paper we study the quasilinear equation $- \ep^2 Δu-Δ_p u=f(u)$ in a smooth bounded domain with Dirichlet boundary condition. For $\ep \geq 0$, we review existence of a…
Multiplicity results and qualitative properties for semilinear elliptic problems with Neumann boundary conditions
Oscar Agudelo, Santiago Correa, Daniel Restrepo +1
In this paper we study multiplicity and qualitative behavior of solutions for semilinear elliptic problems with neumann boundary condition and asymptotically linear smooth nonlinea…