Výsledky vyhledávání - "Mitsuharu Otani"

Akademický článek

Multiple solutions for semilinear elliptic equations with nonlinear boundary conditions

Publikováno v: Electronic Journal of Differential Equations, Vol 2012, Iss 33,, Pp 1-9 (2012)

We consider the elliptic problem with nonlinear boundary conditions: $$displaylines{ -Delta u +bu=f(x,u)quadhbox{in }Omega,cr -partial_{u}u=|u|^{q-1}u-g(u)quadhbox{on }partialOmega, }$$ where $Omega$ is a bounded domain in $mathbb{R}^n$. Proving the

Externí odkaz: https://doaj.org/article/e6fbf09c66344a6290b89efa782415d6

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Akademický článek

Navier-Stokes equation with slip-like boundary condition

Autor: Ken'ichi Hashizume, Tetsuya Koyama, Mitsuharu Otani

Publikováno v: Electronic Journal of Differential Equations, Vol 2009, Iss 62,, Pp 1-8 (2009)

The aim of this note is to investigate a time-discretized 2-dimensional Navier-Stokes equation with a slip-like boundary condition, which arises in the melting ice problem. We prove the existence and uniqueness of a weak solution.

Externí odkaz: https://doaj.org/article/916642c73a04458abeee5e0167759b00

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Akademický článek

Global bifurcation result for the p-biharmonic operator

Autor: Pavel Drabek, Mitsuharu Otani

Publikováno v: Electronic Journal of Differential Equations, Vol 2001, Iss 48, Pp 1-19 (2001)

We prove that the nonlinear eigenvalue problem for the p-biharmonic operator with $p > 1$, and $Omega$ a bounded domain in $mathbb{R}^N$ with smooth boundary, has principal positive eigenvalue $lambda_1$ which is simple and isolated. The correspondin

Externí odkaz: https://doaj.org/article/f72cf66b846f47909a2b5a2f5d8c2232

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