Existence of ground state solutions for a biharmonic Choquard equation with critical exponential growth in ℝ4
Wenjing Chen,
Yumei Li,
Zexi Wang
Abstract:In this paper, we study the following singularly perturbed biharmonic Choquard equation:
where
is a parameter,
, ∗ is the convolution product in
, and
is a continuous real function.
is the primitive function of
, and
has critical exponential growth in the sense of the Adams inequality. By using variational methods, we establish the existence of ground state solutions when
small enough.
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