Zobrazeno 1 - 10
of 331
pro vyhledávání: '"TAKAHASHI, Futoshi"'
Notes on asymptotic behavior of radial solutions for some weighted elliptic equations on the annulus
Autor:
Takahashi, Futoshi
In this paper, we study the asymptotic behavior of radial solutions for several weighted elliptic equations with power type or exponential type nonlinearities on an annulus.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/2405.18854
Autor:
Inaba, Taketo, Takahashi, Futoshi
In this paper, we study a nonlocal boundary blow up problems on an interval and obtain the precise asymptotic formula for solutions when the bifurcation parameter in the problem is large.
Externí odkaz:
http://arxiv.org/abs/2405.18846
Autor:
Takahashi, Futoshi
In this note, we prove the nondegenracy of the explicit finite-mass solution to the $N$-Laplace Liouville equation on the whole space, which is recently shown to be unique up to scaling and translation.
Comment: Submission version. Small typos a
Comment: Submission version. Small typos a
Externí odkaz:
http://arxiv.org/abs/2210.16757
Autor:
Sano, Megumi, Takahashi, Futoshi
We consider the two-dimensional eigenvalue problem for the Laplacian with the Neumann boundary condition involving the critical Hardy potential. We prove the existence of the second eigenfunction and study its asymptotic behavior around the origin. A
Externí odkaz:
http://arxiv.org/abs/2210.10282
Autor:
Feo, Filomena, Takahashi, Futoshi
In this note, we characterize the equality case of the sharp $L^2$-Euclidean logarithmic Sobolev inequality with monomial weights, exploiting the idea by Bobkov and Ledoux \cite{Bob}. Our approach is new even in the unweighted case. Also, we show tha
Externí odkaz:
http://arxiv.org/abs/2208.03448
Autor:
Sano, Megumi, Takahashi, Futoshi
We prove a critical Hardy inequality on the half-space by using the harmonic transplantation. Also we give an improvement of the subcritical Hardy inequality on the half-space, which converges to the critical Hardy inequality. Sobolev type inequaliti
Externí odkaz:
http://arxiv.org/abs/2201.01593
Autor:
Habibi, Sadaf, Takahashi, Futoshi
In this paper, we prove several inequalities such as Sobolev, Poincar\'e, logarithmic Sobolev, which involve a general norm with accurate information of extremals, and are valid for some symmetric functions. We use Ioku's transformation, which is a s
Externí odkaz:
http://arxiv.org/abs/2111.11666
Asymptotic behavior of least energy solutions to the Finsler Lane-Emden problem with large exponents
Autor:
Habibi, Sadaf, Takahashi, Futoshi
In this paper we are concerned with the least energy solutions to the Lane-Emden problem driven by an anisotropic operator, so-called the Finsler $N$-Laplacian, on a bounded domain in $\mathbb{R}^N$. We prove several asymptotic formulae as the nonlin
Externí odkaz:
http://arxiv.org/abs/2108.07989
Autor:
Hamamoto, Naoki, Takahashi, Futoshi
We consider the best constant in the Rellich-Hardy inequality (with a radial power weight) for curl-free vector fields on $\mathbb{R}^N$, originally found by Tertikas-Zographopoulos \cite{Tertikas-Z} for unconstrained fields. This inequality is consi
Externí odkaz:
http://arxiv.org/abs/2101.01878