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math.AP2024
Positive solutions to general semilinear overdetermined boundary problems
Alberto Enciso, Pablo Hidalgo-Palencia, Xavier Ros-Oton
We establish the existence of positive solutions to a general class of overdetermined semilinear elliptic boundary problems on suitable bounded open sets . Sp…
math.AP2024★ 1 cited
Smooth nonradial stationary Euler flows on the plane with compact support
Alberto Enciso, Antonio J. Fernández, David Ruiz
We prove the existence of nonradial classical solutions to the 2D incompressible Euler equations with compact support. More precisely, for any positive integer , we construct co…