4 papers · 1 filter
Quasilinear nonlocal elliptic problems with prescribed norm in the -subcritical and -critical growth
Edcarlos D. Silva, J. L. A. Oliveira, C. Goulart
It is established existence of solution with prescribed norm for the following nonlocal elliptic problem: \begin{equation*} \left\{\begin{array}{cc} \displaystyle (-Δ)^s_p u\…
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…
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…
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…