Thanks zloop, it compiles also successful for my brmc2708 environment and I just copied the kernel module ax88179_178a.ko to an existing build of the trunk, I'd downloaded a couple of days before.
However, I have got a kernel panic after I pluged in the lan cable. Earnestly, I am not familiar with kernel stuff that I hope somebody of you could give me a hint what's going wrong with that kernel module implementation.
p.s. Just for your information, my usb-net-adapter works pretty good on the Debian Whezzy based RASBIAN with the ax88179_178a kernel module.
dmesg:
...
[ 3.022195] usb 1-1.3: new high-speed USB device number 4 using dwc_otg
[ 3.148205] usb 1-1.3: New USB device found, idVendor=0b95, idProduct=1790
[ 3.156603] usb 1-1.3: New USB device strings: Mfr=1, Product=2, SerialNumber=3
[ 3.165345] usb 1-1.3: Product: AX88179
[ 3.170556] usb 1-1.3: Manufacturer: ASIX Elec. Corp.
[ 3.176970] usb 1-1.3: SerialNumber: 00503F56009EAC
[ 3.410290] random: mktemp urandom read with 45 bits of entropy available
[ 3.515648] ax88179_178a 1-1.3:1.0 eth1: register 'ax88179_178a' at usb-bcm2708_usb-1.3, ASIX AX88179 USB 3.0 Gigabit Ethernet, 50:3f:56:00:9e:ac
[ 6.589487] EXT4-fs (mmcblk0p2): re-mounted. Opts: (null)
[ 9.051892] NET: Registered protocol family 10
[ 9.089200] ip6_tables: (C) 2000-2006 Netfilter Core Team
[ 9.109441] hidraw: raw HID events driver (C) Jiri Kosina
[ 9.148489] ip_tables: (C) 2000-2006 Netfilter Core Team
[ 9.164806] nf_conntrack version 0.5.0 (7034 buckets, 28136 max)
[ 9.190705] usbcore: registered new interface driver usbhid
[ 9.197785] usbhid: USB HID core driver
[ 9.221245] xt_time: kernel timezone is -0000
[ 9.236593] PPP generic driver version 2.4.2
[ 9.244253] NET: Registered protocol family 24
[ 11.150334] random: nonblocking pool is initialized
[ 12.874902] smsc95xx 1-1.1:1.0 eth0: hardware isn't capable of remote wakeup
[ 12.884411] IPv6: ADDRCONF(NETDEV_UP): eth0: link is not ready
[ 12.900837] device eth0 entered promiscuous mode
[ 12.923123] IPv6: ADDRCONF(NETDEV_UP): br-lan: link is not ready
[ 13.315622] IPv6: ADDRCONF(NETDEV_UP): eth1: link is not ready
[ 16.388266] ax88179_178a 1-1.3:1.0 eth1: ax88179 - Link status is: 1
[ 16.398485] IPv6: ADDRCONF(NETDEV_CHANGE): eth1: link becomes ready
[ 16.422324] Unable to handle kernel NULL pointer dereference at virtual address 00000014
[ 16.433316] pgd = da8d8000
[ 16.437413] [00000014] *pgd=1a88c831, *pte=00000000, *ppte=00000000
[ 16.445223] Internal error: Oops: 17 [#1] ARM
[ 16.450939] Modules linked in: pppoe ppp_async iptable_nat pppox ppp_generic nf_nat_ipv4 nf_conntrack_ipv6 nf_conntrack_ipv4 ipt_MASQUERADE xt_time xt_tcpudp xt_state xt_nat xt_multiport xt_mark xt_mac xt_limit xt_id xt_conntrack xt_comment xt_TCPMSS xt_REDIRECT xt_LOG xt_CT usbhid slhc nf_nat_irc nf_nat_ftp nf_nat nf_defrag_ipv6 nf_defrag_ipv4 nf_conntrack_rtcache nf_conntrack_irc nf_conntrack_ftp nf_conntrack iptable_raw iptable_mangle iptable_filter ipt_REJECT ip_tables hid_generic crc_ccitt snd_bcm2835 hid evdev ip6t_REJECT ip6table_raw ip6table_mangle ip6table_filter ip6_tables x_tables snd_compress snd_pcm_oss snd_mixer_oss snd_pcm snd_timer snd_rawmidi snd_seq_device snd_hwdep snd soundcore ipv6 ax88179_178a asix xhci_hcd ehci_platform ehci_hcd libphy
[ 16.534112] CPU: 0 PID: 534 Comm: dhcp.sh Not tainted 3.14.30 #1
[ 16.541734] task: dba12400 ti: da86a000 task.ti: da86a000
[ 16.548813] PC is at ax88179_tx_fixup+0x28/0xf0 [ax88179_178a]
[ 16.556323] LR is at ax88179_tx_fixup+0x20/0xf0 [ax88179_178a]
[ 16.563747] pc : [<bf03b140>] lr : [<bf03b138>] psr: 80000113
[ 16.563747] sp : da86bc98 ip : db805740 fp : 00000001
[ 16.578322] r10: 00004012 r9 : db8822a0 r8 : bf03d284
[ 16.585048] r7 : db9d0c00 r6 : db9d0800 r5 : db8822a0 r4 : db8822a0
[ 16.593095] r3 : 00000012 r2 : 00000200 r1 : 00000008 r0 : 00000007
[ 16.601151] Flags: Nzcv IRQs on FIQs on Mode SVC_32 ISA ARM Segment user
[ 16.609826] Control: 00c5387d Table: 1a8d8008 DAC: 00000015
[ 16.617106] Process dhcp.sh (pid: 534, stack limit = 0xda86a1b0)
[ 16.624614] Stack: (0xda86bc98 to 0xda86c000)
[ 16.630461] bc80: 00000000 dba03f60
[ 16.641474] bca0: db8822a0 c01d3e40 c01d3dec 00000000 db8822a0 db8b7700 db9d0800 bf03cf0c
[ 16.652450] bcc0: db8822a0 00004012 00000001 c02499d4 c0405b58 bf1d836c 00000000 00003a3c
[ 16.663421] bce0: da86bd3c 00000000 00000000 dbbea000 db8b7700 db9d0800 db8822a0 00000000
[ 16.674440] bd00: 00000000 c025fcb4 00000000 00000000 db8822a0 db9d0800 db8b7700 dbbea000
[ 16.685549] bd20: 00000000 c0249e00 dbbea060 c0252328 00000000 da84b4c0 db8822a0 da86a018
[ 16.696830] bd40: da871a00 16000000 00000000 41fa3b6f db805050 bf042bd8 00000001 db805020
[ 16.708264] bd60: db805050 bf046374 db9d0800 c04124b8 00000060 db8822a0 da86a010 dba7fc00
[ 16.719821] bd80: 00000001 db805020 db805050 bf061b08 db9d0800 bf0600ec 80000000 db8822a0
[ 16.731424] bda0: bf06256c 00000003 00000000 00000000 003a0000 00000000 000002ff 00000000
[ 16.743122] bdc0: 00000000 16000000 00000000 00000000 00000000 00000000 00000000 0000008f
[ 16.754978] bde0: 00989680 00000000 00000000 db8822a0 bf06256c dba7fc00 da86a000 00000001
[ 16.766879] be00: c044d4d0 bf0625a0 00000001 00000000 00000002 da86a000 00000100 da86a038
[ 16.778756] be20: bf062368 c0407360 c044d0d0 c044d2d0 c044d4d0 c002af7c caf5ac80 00000003
[ 16.790669] be40: c044c8c0 da86be60 00000000 00200200 c0407360 c002b13c ca5d3928 c044d6d0
[ 16.802585] be60: da86be60 da86be60 00000003 00000000 c0477ac8 c0477ac4 40000001 da86a000
[ 16.814474] be80: 00000001 00000100 c0477ac4 c0025e40 000001ff 000001ff 0000000a ffff912d
[ 16.826383] bea0: da86a010 00400000 da86bf1c da86a010 00000003 00000000 da86bf1c c0008aa8
[ 16.838295] bec0: 00000000 00000000 01fb8008 c00261c8 c0408204 c00161a4 c008eeac a0000013
[ 16.850212] bee0: f200b200 c0009834 db800760 00000001 00000006 00000000 dba0c000 40000013
[ 16.862100] bf00: db800760 000000d0 c0008aa8 00000000 00000000 01fb8008 00000002 da86bf30
[ 16.874013] bf20: c009ebb8 c008eeac a0000013 ffffffff c0404e90 00020000 00000000 01fb82f4
[ 16.885934] bf40: 00000005 c009ebb8 00020000 00000000 ffffff9c 00000005 c0008aa8 da86a000
[ 16.897830] bf60: 00000000 c0091d20 00000000 00000000 be852480 00020000 00000000 00000024
[ 16.909741] bf80: 00000100 00000001 00200200 00000000 00000000 01fb82f4 00000005 c0008aa8
[ 16.921659] bfa0: da86a000 c0008900 00000000 00000000 01fb82f4 00020000 00000000 00000000
[ 16.933576] bfc0: 00000000 00000000 01fb82f4 00000005 00000002 01fb8324 00000002 01fb8008
[ 16.945463] bfe0: 0007c474 be8522c0 0002d760 b6f2d20c 60000010 01fb82f4 00000000 00000000
[ 16.957454] [<bf03b140>] (ax88179_tx_fixup [ax88179_178a]) from [<c01d3e40>] (usbnet_start_xmit+0x54/0x4f0)
[ 16.970999] [<c01d3e40>] (usbnet_start_xmit) from [<c02499d4>] (dev_hard_start_xmit+0x2b0/0x488)
[ 16.983544] [<c02499d4>] (dev_hard_start_xmit) from [<c025fcb4>] (sch_direct_xmit+0x50/0x190)
[ 16.995786] [<c025fcb4>] (sch_direct_xmit) from [<c0249e00>] (__dev_queue_xmit+0x254/0x478)
[ 17.007933] [<c0249e00>] (__dev_queue_xmit) from [<bf042bd8>] (ip6_finish_output2+0x464/0x7d0 [ipv6])
[ 17.021005] [<bf042bd8>] (ip6_finish_output2 [ipv6]) from [<bf061b08>] (igmp6_mcf_seq_show+0x580/0xcdc [ipv6])
[ 17.034845] [<bf061b08>] (igmp6_mcf_seq_show [ipv6]) from [<bf0625a0>] (mld_ifc_timer_expire+0x238/0x9e4 [ipv6])
[ 17.048797] [<bf0625a0>] (mld_ifc_timer_expire [ipv6]) from [<c002af7c>] (call_timer_fn.isra.41+0x24/0x88)
[ 17.062140] [<c002af7c>] (call_timer_fn.isra.41) from [<c002b13c>] (run_timer_softirq+0x15c/0x1a0)
[ 17.074779] [<c002b13c>] (run_timer_softirq) from [<c0025e40>] (__do_softirq+0xa4/0x1f8)
[ 17.086507] [<c0025e40>] (__do_softirq) from [<c00261c8>] (irq_exit+0x80/0xe0)
[ 17.095596] [<c00261c8>] (irq_exit) from [<c00161a4>] (handle_IRQ+0x64/0x80)
[ 17.104509] [<c00161a4>] (handle_IRQ) from [<c0009834>] (__irq_svc+0x34/0xa8)
[ 17.113487] [<c0009834>] (__irq_svc) from [<c008eeac>] (kmem_cache_alloc+0x80/0xe8)
[ 17.124686] [<c008eeac>] (kmem_cache_alloc) from [<c009ebb8>] (getname_flags+0x20/0x108)
[ 17.136329] [<c009ebb8>] (getname_flags) from [<c0091d20>] (do_sys_open+0xf4/0x1c0)
[ 17.147498] [<c0091d20>] (do_sys_open) from [<c0008900>] (ret_fast_syscall+0x0/0x30)
[ 17.158764] Code: e58d3000 eb3f439f e594309c e5d40060 (e1d320b2)
[ 17.166755] ---[ end trace eedeb40adcdf6105 ]---
[ 17.173258] Kernel panic - not syncing: Fatal exception in interrupt
[ 17.181402] Rebooting in 3 seconds..
Thanks all for your hints! :-)