3 papers
math.AP2024
Quasilinear elliptic problems via nonlinear Rayleigh quotient
Edcarlos D. Silva, Marcos L. M. Carvalho, Leszek Gasinski +1
It is established existence and multiplicity of solution for the following class of quasilinear elliptic problems $$ \left\{ \begin{array}{lr} -Δ_Φu = λa(x) |u|^{q-2}u + |u|^{p-2}u…
math.AP2020
Positive solutions for a class of nonlocal problems with possibly singular nonlinearity
Leszek Gasiński, João R. Santos Junior, Gaetano Siciliano
We study a class of elliptic problems with homogeneous Dirichlet boundary condition and a nonlinear reaction term which is nonlocal depending on the -norm of the unknown…
math.AP2018
Study of a class of generalized Schrödinger equations
Andrelino V. Santos, João R. Santos Júnior, Antonio Suárez
A class of generalized Schrödinger problems in bounded domain is studied. A complete overview of the set of solutions is provided, depending on the values assumed by parameters inv…