4 papers
On singular problems in nonreflexive fractional Orlicz-Sobolev spaces
Marcos L. M. Carvalho, Luana C. M. Lima, Carlos A. P. Santos +1
In this work, we deal with existence and uniqueness of positive solution for the singular quasilinear problem in the nonreflexive fractional Orlicz-Sobolev…
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…
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…
On prescribed energy saddle-point solutions to indefinite problems
Yavdat Il'yasov, Edcarlos D. Silva, Maxwell L. Silva
A minimax variational principle for saddle-point solutions with prescribed energy levels is introduced. The approach is based on the development of the linking theorem to the energ…