For a double critical curl-curl equation in R^3, ground states exist in several exponent regimes, and a negative coupling below a threshold forces the zero solution.
Aubin, ´Equations diff´ erentielles non lin´ eaires et probl` eme deYamabe concernant la courbure scalaire
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On the double critical Maxwell equations
For a double critical curl-curl equation in R^3, ground states exist in several exponent regimes, and a negative coupling below a threshold forces the zero solution.