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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
The limiting behavior of solutions to p-Laplacian problems with convection and exponential terms
Anderson L. A. de Araujo, Grey Ercole, Julio C. Lanazca Vargas
We consider, for and the homogeneous Dirichlet problem for the equation $-Δ_{p}u=λu^{q-1}+βu^{a-1}\left\vert \nabla u\right\vert ^{b}+mu^{l-1}e^{…