Existence and multiplicity for perturbations of an equation involving Hardy inequality and critical Sobolev exponent in the whole R^N
| dc.creator | Abdellaoui, Boumediene | |
| dc.creator | Felli, Veronica | |
| dc.creator | Peral, Ireneo | |
| dc.date | 2003-02-12 | |
| dc.date.accessioned | 2026-07-07T04:55:14Z | |
| dc.date.available | 2026-07-07T04:55:14Z | |
| dc.description | In order to obtain solutions to problem $$ {{array}{c} -Δu=\dfrac{A+h(x)} {|x|^2}u+k(x)u^{2^*-1}, x\in {\mathbb R}^N, u>0 \hbox{in}{\mathbb R}^N, {and}u\in {\mathcal D}^{1,2}({\mathbb R}^N), {array}. $$ $h$ and $k$ must be chosen taking into account not only the size of some norm but the shape. Moreover, if $h(x)\equiv 0$, to reach multiplicity of solution, some hypotheses about the local behaviour of $k$ close to the points of maximum are needed. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0302137 | |
| dc.identifier | http://arxiv.org/abs/math/0302137 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66507 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35D05, 35D10, 35J20, 35J25, 35J70, 46E30, 46E35 | |
| dc.title | Existence and multiplicity for perturbations of an equation involving Hardy inequality and critical Sobolev exponent in the whole R^N | |
| dc.type | text |