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math.AP2026
Existence of solutions for elliptic problems involving the -Laplacian operator and a discontinuous superlinear nonlinearity
Marcos A. V. Costa, Olímpio H. Miyagaki, Marcos T. O. Pimenta
In this paper, we study a class of quasilinear elliptic problems involving the Laplacian operator and a discontinuous superlinear nonlinearity governed by the Heaviside fun…
math.AP2024
Nonlocal Diffusion Elliptic System Modelling The Behaviour Of a Bacteria And a Living Nutrient
M. A. V. Costa, Y. B. C. Carranza, C. Morales-Rodrigo +1
In this paper, we discuss the existence and uniqueness of coexistence states for a class of non-local elliptic system. This problem models the behaviour of a bacteria and a living…