Výsledky vyhledávání - "Katayama Sho"

Akademický článek

Supercritical Hénon-type equation with a forcing term

Publikováno v: Advances in Nonlinear Analysis, Vol 13, Iss 1, Pp 1373-1403 (2024)

This article is concerned with the structure of solutions to the elliptic problem for a Hénon-type equation with a forcing term: −Δu=α(x)up+κμ,inRN,u>0,inRN,(Pκ)\hspace{11.3em}-\Delta u=\alpha \left(x){u}^{p}+\kappa \mu ,\hspace{1.0em}\hspace

Externí odkaz: https://doaj.org/article/8cf3c12bc61a4938bb04d813c237f2d3

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Large time behavior of exponential surface diffusion flows on $\mathbb{R}$

Autor: Giga, Yoshikazu, Gösswein, Michael, Katayama, Sho

We consider a surface diffusion flow of the form $V=\partial_s^2f(-\kappa)$ with a strictly increasing smooth function $f$ typically, $f(r)=e^r$, for a curve with arc-length parameter $s$, where $\kappa$ denotes the curvature and $V$ denotes the norm

Externí odkaz: http://arxiv.org/abs/2411.17175

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Supercritical Lane-Emden equation on a cone with an inhomogeneous Dirichlet boundary condition

Autor: Katayama, Sho

We consider the Lane-Emden equation with a supercritical nonlinearity with an inhomogeneous Dirichlet boundary condition on an infinite cone. Under suitable conditions for the boundary data and the exponent of nonlinearity, we give a complete classif

Externí odkaz: http://arxiv.org/abs/2411.14686

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Fundamental solution to the heat equation with a dynamical boundary condition

Autor: Ishige, Kazuhiro, Katayama, Sho, Kawakami, Tatsuki

We give an explicit representation of the fundamental solution to the heat equation on a half-space of ${\mathbb R}^N$ with the homogeneous dynamical boundary condition, and obtain upper and lower estimates of the fundamental solution. These enable u

Externí odkaz: http://arxiv.org/abs/2410.08430

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Semilinear elliptic problems on the half space with a supercritical nonlinearity

Autor: Katayama, Sho

This paper concerns positive solutions to the boundary value problems of the scalar field equation in the half space with a Sobolev supercritical nonlinearity and an inhomogeneous Dirichlet boundary condition, admitting a nontrivial nonnegative Radon

Externí odkaz: http://arxiv.org/abs/2310.17001

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Supercritical Henon type equation with a forcing term

Autor: Ishige, Kazuhiro, Katayama, Sho

This paper is concerned with the structure of solutions to the elliptic problem for an Henon type equation with a forcing term. Under suitable assumptions on the forcing term, we give a complete classification of the existence/nonexistence of solutio

Externí odkaz: http://arxiv.org/abs/2211.12066

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