3 papers
math.AP2021
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…
math.AP2018
Ground and bound state solutions for quasilinear elliptic systems including singular nonlinearities and indefinite potentials
M. L. M. Carvalho, Edcarlos D. Da Silva, C. A. Santos +1
It is established existence of bound and ground state solutions for quasilinear elliptic systems driven by (ϕ1, ϕ2)-Laplacian operator. The main feature here is to consider quasili…
math.AP2017
Multiplicity of solutions for a nonhomogeneous quasilinear elliptic problem with critical growth
M. L. M. Carvalho, J. V. Goncalves, C. Goulart +1
It is established some existence and multiplicity of solution results for a quasilinear elliptic problem driven by -Laplacian operator. One of these solutions is built as a grou…