Search Results - "Smyrnelis, Panayotis"

Double layered solutions to the extended Fisher–Kolmogorov P.D.E by Smyrnelis, Panayotis

“…We construct double layered solutions to the extended Fisher–Kolmogorov P.D.E., under the assumption that the set of minimal heteroclinics of the corresponding…”
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The harmonic map problem with mixed boundary conditions by SMYRNELIS, PANAYOTIS

“… This solution is constructed and characterized as a minimizer of the Dirichlet's energy in the class of maps which satisfy the first mixed boundary…”
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Existence of lattice solutions to semilinear elliptic systems with periodic potential by Nicholas D. Alikakos, Panayotis Smyrnelis

“…Under the assumption that the potential W is invariant under a general discrete reflection group $G'=TG$ acting on $mathbb{R}^n$, we establish existence of…”
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Vortex-filament solutions in the Ginzburg-Landau-Painlevé theory of phase transition by Smyrnelis, Panayotis

“…The extended Painlevé P.D.E. system Δy−x1y−2|y|2y=0, (x1,…,xn)∈Rn, y:Rn→Rm, is obtained by multiplying by −x1 the linear term of the Ginzburg-Landau equation…”
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Some rigidity results and asymptotic properties for solutions to semilinear elliptic P.D.E by Rizzi, Matteo, Smyrnelis, Panayotis

“…We will present some rigidity results for solutions to semilinear elliptic equations of the form Δu=W′(u), where W is a quite general potential with a local…”
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Minimal heteroclinics for a class of fourth order O.D.E. systems by Smyrnelis, Panayotis

“…We prove the existence of minimal heteroclinic orbits for a class of fourth order O.D.E. systems with variational structure. In our general set-up, the set of…”
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Nondegeneracy of heteroclinic orbits for a class of potentials on the plane by Jendrej, Jacek, Smyrnelis, Panayotis

“…In the scalar case, the nondegeneracy of heteroclinic orbits is a well-known property, commonly used in problems involving nonlinear elliptic, parabolic or…”
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Multiphase Solutions to the Vector Allen–Cahn Equation: Crystalline and Other Complex Symmetric Structures by Bates, Peter W., Fusco, Giorgio, Smyrnelis, Panayotis

“…We present a systematic study of entire symmetric solutions u : R n → R m of the vector Allen–Cahn equation Δ u - W u ( u ) = 0 for all x ∈ R n , where W : R m…”
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On Minimizers of the Hamiltonian System u″ = ∇W(u) and on the Existence of Heteroclinic, Homoclinic and Periodic Orbits by Antonopoulos, Panagiotis, Smyrnelis, Panayotis

“…In the first part of the paper, we establish two necessary conditions for the existence of bounded one-dimensional minimizers u: the potential W must have a…”
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On minimizers of the Hamiltonian system $u\'\'=\\nabla W(u)$ and on the existence of heteroclinic, homoclinic and periodic orbits by Smyrnelis, Panayotis, Antonopoulos, Panagiotis

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On Abrikosov Lattice Solutions of the Ginzburg-Landau Equations by Chenn, Ilias, Smyrnelis, Panayotis, Sigal, Israel Michael

“…We prove existence of Abrikosov vortex lattice solutions of the Ginzburg-Landau equations of superconductivity, with multiple magnetic flux quanta per…”
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Entire Vortex Solutions of Negative Degree for the Anisotropic Ginzburg–Landau System by Kowalczyk, Michał, Lamy, Xavier, Smyrnelis, Panayotis

“…The anisotropic Ginzburg–Landau system Δ u + δ ∇ ( div u ) + δ curl ∗ ( curl u ) = ( | u | 2 - 1 ) u , for u : R 2 → R 2 and δ ∈ ( - 1 , 1 ) , models the…”
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Symmetry Breaking and Restoration in the Ginzburg–Landau Model of Nematic Liquid Crystals by Clerc, Marcel G., Kowalczyk, Michał, Smyrnelis, Panayotis

“…In this paper we study qualitative properties of global minimizers of the Ginzburg–Landau energy which describes light–matter interaction in the theory of…”
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Some one-dimensional elliptic problems with constraints by Schino, Jacopo, Smyrnelis, Panayotis

“…Given $m \in \mathbb{N} \setminus \{0\}$ and $\rho > 0$, we find solutions $(\lambda,u)$ to the problem \begin{equation*} \begin{cases}…”
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Theory of light-matter interaction in nematic liquid crystals and the second Painlevé equation by Clerc, Marcel G., Dávila, Juan Diego, Kowalczyk, Michał, Smyrnelis, Panayotis, Vidal-Henriquez, Estefania

“…We study global minimizers of an energy functional arising as a thin sample limit in the theory of light-matter interaction in nematic liquid crystals. We show…”
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A comparison principle for vector valued minimizers of semilinear elliptic energy, with application to dead cores by Smyrnelis, Panayotis

“…We establish a comparison principle providing accurate upper bounds for the modulus of vector valued minimizers of an energy functional, associated when the…”
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Double layered solutions to the extended Fisher-Kolmogorov P.D.E by Smyrnelis, Panayotis

“…We construct double layered solutions to the extended Fisher-Kolmogorov P.D.E., under the assumption that the set of minimal heteroclinics of the corresponding…”
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Some rigidity results and asymptotic porperties for solutions to semilinear elliptic P.D.E by Rizzi, Matteo, Smyrnelis, Panayotis

“…We will present some rigidity results for solutions to semilinear elliptic equations of the form $\Deltau = W'(u)$, where W is a quite general potential with a…”
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Vortex solutions in the Ginzburg-Landau-Painlev\'e theory of phase transition by Smyrnelis, Panayotis

“…The extended Painlev\'e P.D.E. system $\Delta y -x_1 y - 2 |y|^2y=0$, $(x_1,\ldots,x_n)\in \mathbb{R}^n$, $y:\mathbb{R}^n\to\mathbb{R}^m$, is obtained by…”
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Connecting orbits in Hilbert spaces and applications to P.D.E by Smyrnelis, Panayotis

“…We prove a general theorem on the existence of heteroclinic orbits in Hilbert spaces, and present a method to reduce the solutions of some P.D.E. problems to…”
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