オマール海え老び

also: オマールエビ

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Meanings

1

Refers specifically to lobsters of the genus Homarus, as opposed to spiny lobsters (伊勢海老). Often used in culinary contexts.

伊い勢せ海老えび
Refers to spiny lobster (Panulirus japonicus), which lacks large claws and is more common in Japanese cuisine. オマール海老 specifically denotes clawed lobsters (Homarus).
ロブスター
English loanword 'lobster', often used interchangeably but can refer to any lobster-like crustacean. オマール海老 is more precise for Homarus.

オマール海え老び
Standard kanji spelling for 'lobster' (Homarus).
オマール蝦えび
Alternate kanji for 'shrimp/lobster'; less common for this word.
オマールエビ
kana-only spelling
Katakana spelling; often used in menus or when emphasizing the foreign origin.

From French 'homard' (lobster) + 海老 (えび, shrimp/lobster). The kanji 海老 is a jukujikun reading for えび.