1 citations · 2 across the 5 of their papers we have counts for
5 papers
A unified treatment of degenerate nonlocal elliptic problems
L. Gasinski, H. Ramos Quoirin, J. Santos Junior +1
We develop a unified framework for a broad class of nonlocal elliptic problems, encompassing a wide spectrum of nonlocal terms, including the classical Kirchhoff and Carrier-type e…
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…
A new class of double phase variable exponent problems: Existence and uniqueness
Ángel Crespo-Blanco, Leszek Gasiński, Petteri Harjulehto +1
In this paper we introduce a new class of quasilinear elliptic equations driven by the so-called double phase operator with variable exponents. We prove certain properties of the c…
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…
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…