An elliptic Neumann problem with critical nonlinearity in three dimensional domains
Rey, Olivier
HAL, hal-00943493 / Harvested from HAL
Text on HAL
We study an elliptic partial differential equation of second order with critical nonlinearity and Neumann boundary conditions. An improved asymptotic analysis allows us to prove in dimension 3 results previously known in larger dimensional spaces, i.e. existence and multiplicity of concentrated solutions in connection with properties of the mean curvature of the domain boundary.
Publié le : 1999-07-04
Classification:  Neumann boundary conditions,  Nonlinear elliptic PDEs,  Critical Sobolev exponent,  Noncompact variational problems,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00943493,
     author = {Rey, Olivier},
     title = {An elliptic Neumann problem with critical nonlinearity in three dimensional domains},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00943493}
}

Rey, Olivier. An elliptic Neumann problem with critical nonlinearity in three dimensional domains. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-00943493/