โ Scribed by Monica Musso; Angela Pistoia
No coin nor oath required. For personal study only.
In this paper, we prove that the Brezis-Nirenberg problem with slightly supercritical non-linearity,
where ฮฉ is any bounded smooth domain in R N , N 5, and ฮป is a positive number, has two solutions with the shape of a tower of bubbles, for all ฮต > 0 sufficiently small. We also prove that the slightly subcritical problem:
where ฮฉ is any bounded smooth domain in R N , N 3, has a solution with the shape of a tower of sign changing bubbles, for all ฮต > 0 sufficiently small.
๐ SIMILAR VOLUMES
In this Note we give a result of G-compactness for a sequence of operators A, : W:~"'(fl,) + W-L~7tL'(R,) in d' g lver ence form with coefficients depending on the parameter s in variable domains R,?. 0 AcadCmie des SciencesElsevier, Paris Un efSet de double h omo&n&sation pour des probkmes de Diric
This paper deals with some general irregular oblique derivative problems for nonlinear unilbrmly elliptic equations of second order in a multiply connected plane domain. Firstly, we state the well-posedness of a new set of modified boundary conditions. Secondly, we verify the existence of solutions