I've been having this problem for a couple months, too.
#uname -a Linux xps 4.3.0-0.bpo.1-amd64 #1 SMP Debian 4.3.3-7~bpo8+1 (2016-01-19) x86_64 GNU/Linux
#lspci Broadcom Corporation BCM4352 802.11ac Wireless Network Adapter [14e4:43b1] (rev 03) Subsystem: Dell Device [1028:0019] Capabilities: <access denied> Kernel driver in use: wl
Various outputs of dmesg attached.
I've been having this problem for a couple months, too.
#uname -a
Linux xps 4.3.0-0.bpo.1-amd64 #1 SMP Debian 4.3.3-7~bpo8+1 (2016-01-19) x86_64 GNU/Linux
#lspci
Broadcom Corporation BCM4352 802.11ac Wireless Network Adapter [14e4:43b1] (rev 03)
Subsystem: Dell Device [1028:0019]
Capabilities: <access denied>
Kernel driver in use: wl
Various outputs of dmesg attached.