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
Multiplicity of positive solutions for an equation with degenerate nonlocal diffusion
João R. Santos Júnior, Leszek Gasinski
Even without a variational background, a multiplicity result of positive solutions with ordered -norms is provided to the following boundary value problem \begin{equation…