DOI

We consider the Dirichlet problem for the equation -Delta (p) = u (q-1) with (p-)Laplacian in a thin spherical annulus in a"e (n) with 1 <p <q p* (n-1), where p* (n-1) is the critical Sobolev exponent for embedding in a"e (n-1) and either n = 4 or n a (c) 3/4. We prove that this problem has a countable set of solutions concentrated in neighborhoods of certain curves. Any two such solutions are nonequivalent if the annulus is thin enough. As a corollary, we prove that the considered problem has as many solutions as required, provided that the annulus is thin enough.
Язык оригиналаанглийский
Число страниц4
ЖурналFunctional Analysis and its Applications
Том49
Номер выпуска2
DOI
СостояниеОпубликовано - 2015

ID: 3987996