Author

J. R. Santos

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Preprint Oct 2026

Elliptic problems involving a diffusion operator of vectorial $p\&q$-Laplacian type

We study a broad class of anisotropic Dirichlet problems driven by the nonhomogeneous operator \[ \mathcal L_Au=-\sum_{i=1}^N\partial_i\!\left( a_i(|\partial_i u|^{p_i})|\partial_i u|^{p_i-2} \partial_i u\right), \] where the functions $a_i$ satisfy structural growth and monotonicity conditions of $(p_i,q_i)$-type. Thi...

M. L. Carvalho, J. R. Santos, H. Silva · 0 citations

Preprint Sep 2026

Characterizing the breakdown of the maximum principle in a class of nonlocal elliptic problems

In this paper, we consider a nonlocal elliptic equation involving a nonnegative parameter $a$ that quantifies the strength of the nonlocal term, posed in a smooth bounded domain with homogeneous Dirichlet boundary conditions and a given nonnegative source term $f$. This class of problems arises in several applications,...

J. R. Santos, Silvia Sastre-Gomez, D. Souza · 0 citations