On the higher differentiability of solutions to a class of variational problems of fast growth
We consider the higher differentiability of a solution $u$ to the problem of minimizing $$\int_{\om}[\Lambda(x ,|\nabla v(x)|) +f(x)v(x)]dx$$ where $\Lambda$ is of fast growth in the second variable, i.e., we assume that $\Lambda(x,t)$ grows in $t$ faster than $t^N$, where $N$ is the dimension of th...
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | article |
| Language: | eng |
| Published: |
1000
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/10773/22744 |
| Country: | Portugal |
| Oai: | oai:ria.ua.pt:10773/22744 |
| Summary: | We consider the higher differentiability of a solution $u$ to the problem of minimizing $$\int_{\om}[\Lambda(x ,|\nabla v(x)|) +f(x)v(x)]dx$$ where $\Lambda$ is of fast growth in the second variable, i.e., we assume that $\Lambda(x,t)$ grows in $t$ faster than $t^N$, where $N$ is the dimension of the space. We do not assume conditions limiting above the size of the second derivative of $\Lambda$ with respect to $t$. |
|---|