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math.AP2013
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…
math.AP2013
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…