On the nonlinear Neumann problem with critical and supercritical nonlinearities

J. Chabrowski, and E. Tonkes. On the nonlinear Neumann problem with critical and supercritical nonlinearities. 2003. <http://eudml.org/doc/286060>.

@book{J2003,
abstract = {We investigate the solvability of the Neumann problem (1.1) involving a critical Sobolev exponent. In the first part of this work it is assumed that the coefficients Q and h are at least continuous. Moreover Q is positive on Ω̅ and λ > 0 is a parameter. We examine the common effect of the mean curvature and the shape of the graphs of the coefficients Q and h on the existence of low energy solutions. In the second part of this work we consider the same problem with Q replaced by -Q. In this case the problem can be supercritical and the existence results depend on integrability conditions on Q and h.},
author = {J. Chabrowski, E. Tonkes},
language = {eng},
title = {On the nonlinear Neumann problem with critical and supercritical nonlinearities},
url = {http://eudml.org/doc/286060},
year = {2003},
}

TY - BOOK
AU - J. Chabrowski
AU - E. Tonkes
TI - On the nonlinear Neumann problem with critical and supercritical nonlinearities
PY - 2003
AB - We investigate the solvability of the Neumann problem (1.1) involving a critical Sobolev exponent. In the first part of this work it is assumed that the coefficients Q and h are at least continuous. Moreover Q is positive on Ω̅ and λ > 0 is a parameter. We examine the common effect of the mean curvature and the shape of the graphs of the coefficients Q and h on the existence of low energy solutions. In the second part of this work we consider the same problem with Q replaced by -Q. In this case the problem can be supercritical and the existence results depend on integrability conditions on Q and h.
LA - eng
UR - http://eudml.org/doc/286060
ER -