most citedPositive solutions of nonlinear problems involving the square root of the Laplacian

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math.AP2009★ 4 cited

Positive solutions of nonlinear problems involving the square root of the Laplacian

Xavier Cabre, Jinggang Tan

We consider nonlinear elliptic problems involving a nonlocal operator: the square root of the Laplacian in a bounded domain with zero Dirichlet boundary conditions. For positive so…