Concentration of solutions to elliptic equations with critical nonlinearity
Rey, Olivier
HAL, hal-00943450 / Harvested from HAL
Text on HAL
We study the asymptotic behavior as ε goes to zero of solutions in H^1_0(Ω ) to the equation: -Δu = u∣u∣^4/(N-2) + εf(x), where Ω is a bounded domain in ℝ^N, N≥3. Wh show the existence of solutions to the problem which blow up at some well defined points, depending on f, for ε = 0.
Publié le : 1992-07-04
Classification:  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00943450,
     author = {Rey, Olivier},
     title = {Concentration of solutions to elliptic equations with critical nonlinearity},
     journal = {HAL},
     volume = {1992},
     number = {0},
     year = {1992},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00943450}
}

Rey, Olivier. Concentration of solutions to elliptic equations with critical nonlinearity. HAL, Tome 1992 (1992) no. 0, . http://gdmltest.u-ga.fr/item/hal-00943450/