3 citations · 5 across the 9 of their papers we have counts for
11 papers
A New Minimax Theorem for a Class of -Functionals
Denilson S. Pereira, João R. Santos Júnior, João F. F. Silva
We establish a new abstract minimax theorem for obtaining ground-state critical points of a class of \(C^{1}\)-functionals. The central feature of this class is that the associated…
Elliptic problems involving a diffusion operator of vectorial -Laplacian type
M. L. M. Carvalho, J. R. Santos, H. W. G. Silva
We study a broad class of anisotropic Dirichlet problems driven by the nonhomogeneous operator \[ \mathcal L_Au=-\sum_{i=1}^N\partial_i\!\left( a_i(|\partial_i u|^{p_i})|\partial_i…
On a quasilinear elliptic problem involving the 1-laplacian operator and a discontinuous nonlinearity
Marcos T. O. Pimenta, Gelson C. G. Santos, João R. Santos Júnior
In this work, we study a quasilinear elliptic problem involving the 1-laplacian operator, with a discontinuous, superlinear and subcritical nonlinearity involving the Heaviside fun…
Multiple solutions for some strongly degenerate second order elliptic equations
João R. Santos Junior, Gaetano Siciliano
We consider a boundary value problem in a bounded domain involving a degenerate operator of the form and a suitable nonlinearity . The func…
Multiple solutions for a generalized Schrödinger problem with 'concave-convex' nonlinearities
Andrelino V. Santos, João R. Santos Júnior
A class of generalized Schrödinger elliptic problems involving concave-convex and other types of nonlinearities is studied. A reasonable overview about the set of solutions is prov…
Multiplicity of positive solutions for an equation with degenerate nonlocal diffusion
João R. Santos Júnior, Leszek Gasinski
Even without a variational background, a multiplicity result of positive solutions with ordered -norms is provided to the following boundary value problem \begin{equation…
Existence results of positive solutions for Kirchhoff type equations via bifurcation methods
Willian Cintra, João R. Santos Júnior, Gaetano Siciliano +1
In this paper we address the following Kirchhoff type problem \begin{equation*} \left\{ \begin{array}{ll} -Δ(g(|\nabla u|_2^2) u + u^r) = a u + b u^p& \mbox{in}~Ω, u>0& \mbox{in}~Ω…
Multiplicity of solutions for resonant and non-resonant asymptotically linear elliptic problems
José R. S. Nascimento, Marcos T. O. Pimenta, João R. Santos Júnior
Results about existence of a signed ground state solution and multiple solutions (if is odd with respect to the second variable) are proven for a class of asymptotically linear…
On a generalized timoshenko-kirchhoff equation
João R. Santos Júnior, Gaetano Siciliano
In this paper we consider a generalized fourth order nonlinear Kirchhoff equation in a bounded domain in under Navier boundary conditions and with sublinear…
Existence and uniqueness of solution for a nonhomogeneous nonlocal problem
Camil S. Z. Redwan, João R. Santos Júnior, Antonio Suárez
In this paper we investigate a class of elliptic problems involving a nonlocal Kirchhoff type operator with variable coefficients and data changing its sign. Under appropriated con…
On a generalized Kirchhoff equation with sublinear nonlinearities
João R. Santos Júnior, Gaetano Siciliano
In this paper we consider a generalized Kirchhoff? equation in a bounded domain under the effect of a sublinear nonlinearity. Under suitable assumptions on the data of the problem…