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The question of interior blow-up for an elliptic Neumann problem: the critical case
Rey, Olivier
HAL, hal-00935381 / Harvested from HAL
Text on HAL
In contrast with the subcritical case, we prove that for any bounded domain $\Omega$ in $\mathbb{R}^3$, the Neumann elliptic problem with critical nonlinearity $-\Delta u + \mu u = u^{5}$, $u > 0$ in $\Omega$, $\partial u / \partial n= 0$ on $\partial\Omega$ has no solution blowing up at only interior points as μ goes to infinity.
Publié le : 2002-07-04
Classification:  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00935381,
     author = {Rey, Olivier},
     title = {The question of interior blow-up for an elliptic Neumann problem: the critical case},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00935381}
}

Rey, Olivier. The question of interior blow-up for an elliptic Neumann problem: the critical case. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00935381/