| Project/Area Number |
26400177
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Research Field |
Mathematical analysis
|
|---|
| Research Institution | Tokyo University of Science |
|---|
Principal Investigator |
|
|---|
| Co-Investigator(Renkei-kenkyūsha) |
NAGASAWA Takeyuki 埼玉大学, 理学研究科, 教授 (70202223)
|
|---|
| Research Collaborator |
Maria Alessandra Ragusa Università degli Studi di Catania, Dipartimento di Matematica e Informatica, Professore Associato
Antonia Passarelli di Napoli Università degli Studi di Napoli “Federico II", Dipartimento di Matematica e Applicazioni “R. Caccioppoli", Professore Associato
Flavia Giannetti Università degli Studi di Napoli “Federico II", Dipartimento di Matematica e Applicazioni “R. Caccioppoli", Ricercatore
|
|---|
| Project Period (FY) |
2014-04-01 – 2017-03-31
|
| Project Status |
Completed (Fiscal Year 2016)
|
| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
|
|---|
| Keywords | 関数方程式論 / 変分問題 / non-standard growth / non-standard grwoth / partial regularity / boundary regularity / p(x)-energy / Φ-growth / Non-standard growth / 解の正則性 / p(x)-growth |
|---|
| Outline of Final Research Achievements |
The problem of finding critical points of a given "quantity" (functional) is called a variational problem. When we try to solve a variational problem, we often employ the method consisting of the following 2-steps: first, we find a "weakly differentiable solution" =weak solution, and, in the second step, we show that the weak solution is differentiable sufficiently for the problem under consideration. This second step is called as "regularity problem". In this research, we treated the regularity problems for the functionals of non-standard growth, especially, for so-called p(x)-growth functionals, and have gotten some new results.
|
