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math.AP2023
Eigenvalue for a problem involving the fractional (p,q)-Laplacian operator and nonlinearity with a singular and a supercritical Sobolev growth
A. L. A. de Araujo, Aldo H. S. Medeiros
In this paper, we are interested in studying the multiplicity, uniqueness, and nonexistence of solutions for a class of singular elliptic eigenvalue problem for the Dirichlet fract…
math.AP2023
A problem involving competing and intrinsic operators
Aldo H. S. Medeiros, Dumitru Motreanu
The main result establishes the existence of a solution in a generalized sense for a nonlinear Dirichlet problem driven by a competing operator and exhibiting a convection term com…
math.AP2023
On the limiting problems for two eigenvalue systems and variations
Hamilton P Bueno, Aldo H S Medeiros
Let be a bounded, smooth domain. Supposing that , and $\displaystyle\lim_{p \to \infty} α(p)/{p} = θ\in (0,1)…