Elliptic systems of \(p\)-Laplacian type. (English) Zbl 1484.35244
Summary: We prove an existence result for solutions of nonlinear \(p\)-Laplacian systems with data in generalized form:
\[
\begin{cases}
-\mathrm{div}\Phi(Du-\Theta(u))&=f(x,u,Du)\quad\text{in }\Omega\\
\hfill u&=0\quad\text{on }\partial\Omega
\end{cases}
\] by the theory of Young measures.
MSC:
| 35J92 | Quasilinear elliptic equations with \(p\)-Laplacian |
| 35J57 | Boundary value problems for second-order elliptic systems |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
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