9 citations · 18 across the 18 of their papers we have counts for
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Existence of S-shaped type bifurcation curve with dual cusp catastrophe via variational methods
Marcos Leandro Carvalho, Yavdat Il'yasov, Carlos Alberto Santos
We discuss the existence of multiple positive solutions leading to the occurrence of an S-shaped bifurcation curve to the equations of the form $$ -Δ_p u= f(μ,λ, u)~ \mbox{in} ~Ω\s…
Regularity results for quasilinear elliptic problems driven by the fractional -Laplacian operator
M. L. Carvalho, E. D. Silva, J. C. de Albuquerque +1
It is established estimates for the fractional -Laplacian operator defined in bounded domains where the nonlinearity is subcritical or critical in a suitable sense. Furt…
Choquard equations via nonlinear Rayleigh quotient for concave-convex nonlinearities
Marcos L. M. Carvalho, Edcarlos D. Silva, Claudiney Goulart
It is established existence of ground and bound state solutions for Choquard equation considering concave-convex nonlinearities in the following form $$ \begin{array}{rcl} -Δu +V(x…
Multiple solutions for two classes of quasilinear problems defined on a nonreflexive Orlicz-Sobolev space
Claudianor O. Alves, Sabri Bahrouni, Marcos L. M. Carvalho
In this paper, we prove the existence and multiplicity of solutions for a large class of quasilinear problems on a nonreflexive Orlicz-Sobolev space. Here, we use the variational m…
Fractional double phase Robin problem involving variable order-exponents without Ambrosetti-Rabinowitz condition
Reshmi Biswas, Sabri Bahrouni, Marcos L. Carvalho
We consider a fractional double phase Robin problem involving variable order and variable exponents. The nonlinearity is a Carathéodory function satisfying some hypotheses whic…