9 citations · 18 across the 17 of their papers we have counts for
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math.DG2019★ 9 cited
On the isoperimetric inequality and surface diffusion flow for multiply winding curves
Tatsuya Miura, Shinya Okabe
In this paper we establish a general form of the isoperimetric inequality for immersed closed curves (possibly non-convex) in the plane under rotational symmetry. As an application…
math.AP2019★ 1 cited
Existence of solutions for a higher-order semilinear parabolic equation with singular initial data
Kazuhiro Ishige, Tatsuki Kawakami, Shinya Okabe
We establish the existence of solutions of the Cauchy problem for a higher-order semilinear parabolic equation by introducing a new majorizing kernel. We also study necessary condi…
math.AP2019
A supercritical scalar field equation with a forcing term
Kazuhiro Ishige, Shinya Okabe, Tokushi Sato
This paper is concerned with the elliptic problem for a scalar field equation with a forcing term \begin{equation} \tag{P}-Δu+u=u^p+ κμ\quad \mbox{in} \quad{\bf R}^N, \quad u>0 \qu…