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math.AP2025★ 106 cited
Existence and nonexistence of solutions for singular quadratic quasilinear equations
David Arcoya, José Carmona, Tommaso Leonori +3
We study both existence and nonexistence of nonnegative solutions for nonlinear elliptic problems with singular lower order terms that have natural growth with respect to the gradi…
math.AP2025★ 2 cited
Nonlocal operators in divergence form and existence theory for integrable data
David Arcoya, Serena Dipierro, Edoardo Proietti Lippi +2
We present an existence and uniqueness result for weak solutions of Dirichlet boundary value problems governed by a nonlocal operator in divergence form and in the presence of a da…