平田賢太郎 (KENTARO HIRATA) - マイポータル

基本情報

所属: 広島大学

研究者番号: 30399795
J-GLOBAL ID: 201801020207833354
researchmap会員ID: B000314897

主な研究対象は，ポテンシャル論および半線形楕円型方程式の解の性質・挙動に関することです．

論文

Boundary behavior of positive solutions of semilinear elliptic equations with negative exponent

Hirata, Kentaro

MEDITERRANEAN JOURNAL OF MATHEMATICS 23(6) Paper No. 183, 13 2026年9月査読有り
On a relation between growth estimates and Harnack inequalities for quasilinear elliptic equations with nonlinear lower order terms

Hirata, Kentaro

OPUSCULA MATHEMATICA 46(3) 323-345 2026年6月査読有り
Boundary growth rates of superharmonic functions satisfying a nonlinear inequality in the unit ball of C^N

Hirata, Kentaro

INTERDISCIPLINARY INFORMATION SCIENCES 32(1) 33-42 2026年3月査読有り
Boundary growth rates of positive solutions of sublinear elliptic equations in the real hyperbolic ball

Hirata, Kentaro

COMPUTATIONAL METHODS AND FUNCTION THEORY 26(1) 45-58 2026年3月査読有り
Weighted nontangential limits on a polar set of superharmonic functions satisfying a nonlinear inequality

Hirata, Kentaro

ANALYSIS AND MATHEMATICAL PHYSICS 16(1) Paper No. 4, 19-19 2026年2月査読有り
Sublinear elliptic equations with unbounded coefficients in Lipschitz domains

Hirata, Kentaro

RESULTS IN MATHEMATICS 79(5) Paper No. 215 2024年9月査読有り
Positive solutions of superlinear elliptic equations with respect to the Schrödinger operator

Hirata, Kentaro

SPRINGER PROCEEDINGS IN MATHEMATICS AND STATISTIC 451 1-34 2024年9月査読有り招待有り
Removable singularities for quasilinear elliptic equations with source terms involving the solution and its gradient

Hirata, Kentaro

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY 53(3) 787-800 2022年9月査読有り
Boundary growth rates and exceptional sets for superharmonic functions on the real hyperbolic ball

KENTARO HIRATA

JOURNAL OF GEOMETRIC ANALYSIS 31(11) 10586-10602 2021年11月査読有り
The Dirichlet problem for sublinear elliptic equations with source

KENTARO HIRATA and ADISAK SEESANEA

BULLETIN DES SCIENCES MATHEMATIQUES 171(103030) 1-20 (No. 103030) 2021年10月査読有り
Boundary growth rates and the size of singular sets for superharmonic functions satisfying a nonlinear inequality

KENTARO HIRATA

ARCHIV DER MATHEMATIK 116(3) 335-344 2021年3月査読有り
Boundary estimates for superharmonic functions and solutions of semilinear elliptic equations with source

KENTARO HIRATA

COLLECTANEA MATHEMATICA 72(1) 43-61 2021年1月査読有り
Global integrability of supertemperatures

HIROAKI AIKAWA, TAKANOBU HARA and KENTARO HIRATA

MATHEMATISCHE ZEITSCHRIFT 296(3-4) 1049-1063 2020年12月査読有り
A priori growth estimates for nonnegative supertemperatures and solutions of semilinear heat equations in a Lipschitz domain

KENTARO HIRATA

JOURNAL D'ANALYSE MATHEMATIQUE 138(1) 441-463 2019年10月査読有り
Two-sided estimates for positive solutions of superlinear elliptic boundary value problems

KENTARO HIRATA

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY 98(3) 465-473 2018年12月査読有り
Existence and nonexistence of a positive solution of the Lane-Emden equation having a boundary singularity: the subcritical case

KENTARO HIRATA

MONATSHEFTE FUR MATHEMATIK 186(4) 635-652 2018年8月査読有り
Removable sets for continuous solutions of quasilinear elliptic equations with nonlinear source or absorption terms

KENTARO HIRATA and TAKAYORI ONO

ANNALI DI MATEMATICA PURA ED APPLICATA 197(1) 41-59 2018年1月査読有り
Positive solutions with a time-independent boundary singularity of semilinear heat equations in bounded Lipschitz domains

Kentaro Hirata

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 134 144-163 2016年3月査読有り
Removable sets for subcaloric functions and solutions of semilinear heat equations with absorption

Kentaro Hirata

HOKKAIDO MATHEMATICAL JOURNAL 45(2) 195-222 2016年査読有り
Removable singularities and singular solutions of semilinear elliptic equations

Kentaro Hirata, Takayori Ono

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 105 10-23 2014年8月査読有り

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