Biographical Sketch of Professor Toshio Horiuchi
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Publication:5082461
DOI10.5036/mjiu.53.izbMath1489.01032OpenAlexW4205392134MaRDI QIDQ5082461
Katsunori Shimomura, Eiichi Nakai
Publication date: 16 June 2022
Published in: Mathematical Journal of Ibaraki University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5036/mjiu.53.i
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- Sharp remainder terms of the Rellich inequality and its application
- Remarks on the strong maximum principle involving \(p\)-Laplacian
- Radial symmetry and its breaking in the caffarelli-Kohn-Nirenberg type inequalities for \(p=1\)
- On the relative p-capacity
- The imbedding theorems for weighted Sobolev spaces
- On the imbeddings \(C^ 1_ B(\Omega)\), \(C^ 1({\bar \Omega})\to C^{0,\lambda}(\Omega;d)\)
- Existence and uniqueness of classical solutions for certain degenerated elliptic equations of the second order
- Existence of bounded solutions for semilinear degenerate elliptic equations with absorption term
- On the Neumann problems for certain degenerate elliptic operators
- Notes on the mean value property for certain degenerate elliptic operators
- Best constant in weighted Sobolev inequality
- Best constant in weighted Sobolev inequality with weights being powers of distance from the origin
- Removable singularities for semilinear degenerate elliptic equations and its application
- Missing terms in Hardy-Sobolev inequalities
- Quasilinear degenerate elliptic equation with absorption term.
- Missing terms in generalized Hardy's inequalities and its applications
- On the Caffarelli-Kohn-Nirenberg-type inequalities involving critical and supercritical weights
- Missing terms in the weighted Hardy-Sobolev inequalities and its application
- Quasilinear degenerate elliptic equations with absorption term
- On the minimal solution for quasilinear degenerate elliptic equation and its blow-up
- <b>Remarks on Kato's inequality when </b>∆<i><sub>p</sub></i><i>u </i><b>is a measure </b>
- The equivalences among <i>p</i>-capacity, <i>p</i>-Laplace-capacities and Hausdorff measure
- Construction of Fundamental Solutions for Certain Degenerated Elliptic Operators
- On radial symmetry and its breaking in the Caffarelli-Kohn-Nirenberg type inequalities for <i>p </i>= 1
- Kato's Inequalities for Degenerate Quasilinear Elliptic Operators
- Solvability of a certain integral equation and its application
- Potential Estimates and Imbedding Theorems for Weighted Sobolev Spaces.
- On the potential theory for certain degenerated elliptic operators
- The imbedding theorems for weighted Sobolev spaces II
- Notes on removable singularities for a certain class of semilinear degenerate elliptic equations
- The existence of time-dependent global solutions, asymptotic behavior and stability of the solutions for semi-linear reaction-diffusion equations
- The Schauder approach to degenerate elliptic equations with homogeneous Neumann boundary condition I
- On the weighted rearrangement of functions and degenerate nonlinear elliptic equations
- Kato's inequalities up to the boundary for a quasilinear elliptic operator
- Sharp remainder terms of Hardy-Sobolev inequalities
- Weighted Hardy inequalities with infinitely many sharp missing terms
- Some properties of slowly increasing functions
- The Schauder approach to degenerate elliptic equations with homogeneous Neumann boundary condition II
- Kato's inequalities for admissible functions to quasilinear elliptic operators <i>A </i>
- One dimensional weighted Hardy's inequalities and application
- Some remarks on Kato's inequality
- Removable singularities for quasilinear degenerate elliptic equations with absorption term
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