122 research outputs found
Nonconvex perturbations of maximal monotone differential inclusions
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On the existence of solutions to a class of differential inclusions
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To Academician Constantin Corduneanu on the ocasion of his 90th birthday
Sem resumo disponívelpublishe
A tribute to the late Professor Constantin Corduneanu
Sem resumo disponível.publishe
Resonant nonlinear periodic problems with the scalar p-Laplacian and a nonsmooth potential
We study periodic problems driven by the scalar p-Laplacian
with a nonsmooth potential. Using the nonsmooth critical point theory for
locally Lipsctiz functions,we prove two existence theorems under conditions
of resonance at infinity with respect to the first two eigenvalues of the
negative scalar p-Laplacian with periodic boundary conditions.Universidade de Aveir
Three nontrivial solutions for the p-Laplacian Neumann problems with a concave nonlinearity near the origin
We consider a nonlinear Neumann problem driven by the p-
Laplacian, with a right-hand side nonlinearity which is concave near the
origin. Using variational techniques, combined with the method of upper-lower
solutions and with Morse theory, we show that the problem has at least three
nontrivial smooth solutions, two of which have a constant sign (one positive
and one negative).FCTPOCI/MAT/55524/200
Continuous selections of solution sets to Volterra integral inclusions in Banach spaces
We consider a nonlinear Volterra integral equation governed by an
m-accretive operator and a multivalued perturbation in a separable Banach.
The existence of a continuous selection for the corresponding solution map
is proved. The case when the m-accretive operator in the integral inclusion
depends on time is also discussed.Universidade de AveiroFCTFEDER POCTI/MAT/55524/200
Existence and multiplicity results for partial differential inclusions via nonsmooth local linking
We consider a partial differential inclusion driven by the p-Laplacian and involving a nonsmooth potential, with Dirichlet boundary conditions. Under convenient assumptions on the behavior of the potential near the origin, the associated energy functional has a local linking. By means of nonsmooth Morse theory, we prove the existence of at least one or two nontrivial solutions, respectively, when the potential is p-superlinear or at most asymptotically p-linear at infinity.publishe
Random extremal solutions of differential inclusions
Given a Lipschitz continuous multifunction on , we
construct a probability measure on the set of all solutions to the Cauchy
problem with . With probability one, the derivatives
of these random solutions take values within the set of extreme
points for a.e.~time . This provides an alternative approach in the
analysis of solutions to differential inclusions with non-convex right hand side
In memory of Professor Francesco Saverio De Blasi
Editorial introduction to the issue dedicated to Francesco S. De Blas
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