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Displaying 361 –
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We consider the evolution of a set according to the
Huygens principle: i.e. the domain at time t>0, Λt,
is the set of
the points whose distance from Λ is lower than
t. We give some general results for this evolution,
with particular care given to the behavior of the perimeter of the
evoluted set as a function of time.
We define
a class of sets (non-trapping sets) for which the perimeter is a
continuous function of t, and
we give an algorithm to approximate the evolution.
Finally we restrict...
Using a recent critical point theorem due to Bonanno, the existence of a non-trivial solution for a class of systems of n fourth-order partial differential equations with Navier boundary conditions is established.
Using a version of the Local Linking Theorem and the Fountain Theorem, we obtain some existence and multiplicity results for a class of superquadratic elliptic equations.
The existence of a nontrivial critical point is proved for a functional
containing an area-type term. Techniques of nonsmooth critical point theory are applied.
In this article, we study the existence of nontrivial weak solutions for the following boundary value problem:
where is a bounded domain with smooth boundary in , for some , is a subelliptic linear operator of the type
where satisfies certain homogeneity conditions and degenerates at the coordinate hyperplanes and the nonlinearity is of subcritical growth and does not satisfy the Ambrosetti-Rabinowitz (AR) condition.
Currently displaying 361 –
380 of
604