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Is there a way to prove that two ElGamal ciphertexts encrypt the same message with different public keys without knowing the private keys?

The prover is the producer of both ciphertexts.

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    $\begingroup$ Is this homework? Also, are those two ciphertexts encrypted to the same public key? Are you asking whether the holder of the private key(s) can generate a zero-knowledge proof, or whether someone with only the public keys can deduce it? $\endgroup$
    – poncho
    Mar 24, 2020 at 12:20
  • $\begingroup$ I edited the question to answer your questions. $\endgroup$
    – Fiono
    Mar 24, 2020 at 12:25

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