Solar energy paper index
A positive ground state for a planar Choquard equation with mixed diffusion and critical exponential growth
One-line summary
A solar energy research paper on A positive ground state for a planar Choquard equation with mixed diffusion and critical exponential growth.
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Chinese explanation / 中文解读
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Original abstract
We study a two-dimensional Choquard equation driven by the mixed local and nonlocal operator $L:=-Δ+(-Δ)^s$, where the nonlinearity has critical exponential growth of Trudinger--Moser type. Under a coercive assumption on the potential and suitable one-sided assumptions on the nonlinearity, we prove the existence of a least energy positive solution. The proof combines Nehari manifold minimization, compactness below the critical Trudinger--Moser threshold, local regularity, and a strong maximum principle.
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