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Superlinear fractional -Laplacian type problems via the nonlinear Rayleigh quotient with two parameters
L. R. S. de Assis, M. L. M. Carvalho, Edcarlos D. Silva +1
In this work, we establish the existence and multiplicity of weak solutions for nonlocal elliptic problems driven by the fractional -Laplacian operator, in the presence of a sig…
Singular nonlocal elliptic systems via nonlinear Rayleigh quotient
Edcarlos D Silva, Elaine A. F. Leite, Maxwell L. Silva
In the present work, we establish the existence of two positive solutions for singular nonlocal elliptic systems. More precisely, we consider the following nonlocal elliptic proble…
Singular Choquard elliptic problems involving two nonlocal nonlinearities via the nonlinear Rayleigh quotient
Edcarlos D. Silva, Marlos R. da Rocha, Jefferson S. Silva
In the present work we shall consider the existence and multiplicity of solutions for nonlocal elliptic singular problems where the nonlinearity is driven by two convolutions terms…
Nonlocal elliptic systems via nonlinear Rayleigh quotient with general concave and coupling nonlinearities
Edcarlos D. Silva, Elaine A. F. Leite, Maxwell L. da Silva
In this work, we shall investigate existence and multiplicity of solutions for a nonlocal elliptic systems driven by the fractional Laplacian. Specifically, we establish the existe…
Stein-Weiss problems via nonlinear Rayleigh quotient for concave-convex nonlinearities
Edcarlos D. Silva, Marcos. L. M. Carvalho, Márcia S. B. A. Cardoso
In the present work, we consider existence and multiplicity of positive solutions for nonlocal elliptic problems driven by the Stein-Weiss problem with concave-convex nonlinearitie…
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…
Ground states of nonlocal elliptic equations with general nonlinearities via Rayleigh quotient
Diego Ferraz, Edcarlos D. Silva
It is established ground states and multiplicity of solutions for a nonlocal Schrödinger equation in $u \in H^s(\m…
Sign changing solutions for quasilinear superlinear elliptic problems
E. D. Silva, M. L. M. Carvalho, F. J. S. A. Corrêa +1
Results on existence and multiplicity of solutions for a nonlinear elliptic problem driven by the -Laplace operator are established. We employ minimization arguments on suitable…