A note on the equation $-\Delta u+e^{u}-1=0$
Veron, Laurent
HAL, hal-00573805 / Harvested from HAL
Text on HAL
If $\Omega$ is a bounded domain in $\mathbb R^N$, we study conditions on a Radon measure $\mu$ on $\partial\Omega$ for solving the equation $-\Delta u+e^{u}-1=0$ in $\Omega$ with $u=\mu$ on $\partial\Omega$. The conditions are expressed in terms of nonlinear capacities.
Publié le : 2004-05-17
Classification:  Elliptic equations,  Orlicz capacities,  reduced measures,  boundary trace,  35J60, 35J65,28A12, 46E30,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00573805,
     author = {Veron, Laurent},
     title = {A note on the equation $-\Delta u+e^{u}-1=0$},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00573805}
}

Veron, Laurent. A note on the equation $-\Delta u+e^{u}-1=0$. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00573805/