Concerning California law:
No. To park at a corner would be blocking a crosswalk which is illegal. Note that a crosswalk does not have to be marked as such for it to be a crosswalk. A crosswalk is basically defined as the gap between two sidewalk corners.
Blocking a crosswalk prohibited: http://www.dmv.ca.gov/pubs/vctop/d11/vc21970.htm
Definition of crosswalk: http://www.dmv.ca.gov/pubs/vctop/d01/vc275.htm
Also, it is illegal to park within three feet of a sidewalk access ramp which is often placed at sidewalk corners.
http://www.dmv.ca.gov/pubs/vctop/d11/vc22522.htm
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Buckingham Palace sits in the middle of a triangle with Green Park, Hyde Park Corner and St. James's Park tube stations on each of the triangle's points.
Waterton Lakes National Park is in the southwestern-most corner of Alberta and Glacier is in northwestern Montana. The two parks share the international boundary.
Have the police tow the vehicle. If it's on your property, you have that right. They should have offered to do it. Put up a sign that states that vehicles will be towed at owners expense... then have the vehicle towed.
in a corner
A safe place approved by the government where you can park a vehicle carring explosive for a long time without any worries.