Finite-energy solutions exist for Kazdan-Warner type equations on the square lattice for small κ, partially resolving an open problem for the lattice Liouville equation.
Existence of solutions to a class of K azdan- W arner equations on finite graphs
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On finite-energy solutions of Kazan-Warner equations on the lattice graph
Finite-energy solutions exist for Kazdan-Warner type equations on the square lattice for small κ, partially resolving an open problem for the lattice Liouville equation.