2 citations · 2 across the 5 of their papers we have counts for
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Energy minimizers in a periodic phase transition model of light-matter interaction in nematic liquid crystals
Panayotis Smyrnelis, Marcel G. Clerc, Manuel Diaz-Zuniga +1
In this paper we complete the study of global minimizers of a forced, non autonomous, one dimensional, phase transition model, initiated in [8]. Motivated by the recent findings in…
Biharmonic nonlinear vector field equations in
Ioannis Arkoudis, Panayotis Smyrnelis
Following the approach of Brezis and Lieb, we prove the existence of a ground state solution for the biharmonic nonlinear vector field equations in the limiting case of space dimen…
Ground state of some variational problems in Hilbert spaces and applications to P.D.E
Ioannis Arkoudis, Panayotis Smyrnelis
We prove the existence of a ground state for some variational problems in Hilbert spaces, following the approach of Berestycki and Lions. Next, we examine the problem of constructi…
Binormal measures
Emmanuel P. Smyrnelis, Panayotis Smyrnelis
Our starting point is the measure , where is the harmonic measure relative to and are…
Nondegeneracy of heteroclinic orbits for a class of potentials on the plane
Jacek Jendrej, Panayotis Smyrnelis
In the scalar case, the nondegeneracy of heteroclinic orbits is a well-known property, commonly used in problems involving nonlinear elliptic, parabolic or hyperbolic P.D.E. On the…
A comparison principle for vector valued minimizers of semilinear elliptic energy, with application to dead cores
Panayotis Smyrnelis
We establish a comparison principle providing accurate upper bounds for the modulus of vector valued minimizers of an energy functional, associated when the potential is smooth, to…