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pro vyhledávání: '"Hara, Takanobu"'
Autor:
Hara, Takanobu
We prove existence of globally H\"{o}lder continuous solutions to elliptic partial differential equations with lower-order terms. Our result is applicable to coefficients controlled by a negative power of the distance from the boundary.
Externí odkaz:
http://arxiv.org/abs/2403.01104
Autor:
Hara, Takanobu
We discuss the homogeneous Dirichlet problem for $p$-Poisson type equations with locally finite measure data. If there is a H\"{o}lder continuous solution, the corresponding data satisfies a local Morrey type condition. The main result of this paper
Externí odkaz:
http://arxiv.org/abs/2311.09701
Autor:
Hara, Takanobu
In potential theory, use of barriers is one of the most important techniques. We construct strong barriers for weighted quasilinear elliptic operators. There are two applications: (i) solvability of Poisson-type equations with boundary singular data,
Externí odkaz:
http://arxiv.org/abs/2211.12183
Autor:
Hara, Takanobu
Publikováno v:
J. Math. Anal. Appl. 528, 1 (2023)
We consider model semilinear elliptic equations of the type \[ \begin{cases} - \mathrm{div} (A(x) \nabla u) = f u^{- \lambda}, \quad u > 0 \quad \text{in} \ \Omega, \\ u \in H_{0}^{1}(\Omega), \end{cases} \] where $\Omega$ is a bounded domain in $\ma
Externí odkaz:
http://arxiv.org/abs/2111.03875
Autor:
Hara, Takanobu
Publikováno v:
Calc. Var. 61, 216 (2022)
We discuss the solvability of Dirichlet problems of the type $- \Delta_{p, w} u = \sigma$ in $\Omega$; $u = 0$ on $\partial \Omega$, where $\Omega$ is a bounded domain in $\mathbb{R}^{n}$, $\Delta_{p, w}$ is a weighted $(p, w)$-Laplacian and $\sigma$
Externí odkaz:
http://arxiv.org/abs/2102.09697
Autor:
Hara, Takanobu
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 December 2023 528(1)
Autor:
Enjoji, Takahiro, Soyama, Akihiko, Fukumoto, Masayuki, Peilin, Li, Matsuguma, Kunihito, Imamura, Hajime, Maruya, Yasuhiro, Hara, Takanobu, Matsushima, Hajime, Kugiyama, Tota, Adachi, Tomohiko, Hidaka, Masaaki, Hamamoto, Sho, Takashima, Shiro, Maeda, Takahiro, Kanetaka, Kengo, Eguchi, Susumu
Publikováno v:
In Transplantation Proceedings November 2023 55(9):2227-2231
Autor:
Hara, Takanobu
Publikováno v:
Nonlinear Differ. Equ. Appl. 28, 62 (2021)
We consider the existence of positive solutions to weighted quasilinear elliptic differential equations of the type \[ \begin{cases} - \Delta_{p, w} u = \sigma u^{q} & \text{in $\Omega$}, \\ u = 0 & \text{on $\partial \Omega$} \end{cases} \] in the s
Externí odkaz:
http://arxiv.org/abs/2005.14377
Autor:
Hara, Takanobu, Seesanea, Adisak
We study the existence of positive solutions to quasilinear elliptic equations of the type \[ -\Delta_{p} u = \sigma u^{q} + \mu \quad \text{in} \ \mathbb{R}^{n}, \] in the sub-natural growth case $0 < q < p - 1$, where $\Delta_{p}u = \nabla \cdot (
Externí odkaz:
http://arxiv.org/abs/2003.11186
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