5 papers
Concave-convex effects for critical quasilinear elliptic problems
C. Goulart, E. D. da Silva, M. L. M. Carvalho +1
It is established existence, multiplicity and asymptotic behavior of positive solutions for a quasilinear elliptic problem driven by the -Laplacian operator. One of these soluti…
Multiple Sign Changing Radially Symmetric Solutions in a General Class of Quasilinear Elliptic Equations
Claudianor O. Alves, J. V. A. Gonçalves, K. O. Silva
In this paper we prove that the equation , where are given real numbers, is a suit…
Multiplicity of solutions of some quasilinear equations in with variable exponents and concave-convex nonlinearities
Claudianor O. Alves, José L. P. Barreiro, José V. A. Gonçalves
In this paper, we prove multiplicity of solutions for a class of quasilinear problems in involving variable exponents and nonlinearities of concave-convex type.…
On Variational Multivalued Elliptic Equations on a Bounded Domain in the Presence of Critical Growth
J. V. Goncalves, M. L. Carvalho
We develop arguments on the critical point theory for locally Lipschitz functionals on Orlicz-Sobolev spaces, along with convexity and compactness techniques to investigate existen…
On the Structure of the Solution Set of a Sign Changing Perturbation of the p-Laplacian under Dirichlet Boundary Condition
J. V. Goncalves, M. R. Marcial
In a recent paper D. D. Hai showed that the equation $ -Δ_{p} u = λf(u) \mbox{in} Ω$, under Dirichlet boundary condition, where is a bounded domain with smooth…