On multivortex solutions in Chern-Simons gauge theory

Michael Struwe; Gabriella Tarantello

Displaying similar documents to “On multivortex solutions in Chern-Simons gauge theory”

$L^{2, λ}$ -regularity for minima of variational integrals

Josef Daněček, Eugen Viszus (2003)

Bollettino dell'Unione Matematica Italiana

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The $L^{2, λ}$ -regularity of the gradient of local minima for nonlinear functionals is shown.

Infinitely many solutions for a class of semilinear elliptic equations in $R^{N}$

Francesca Alessio, Paolo Caldiroli, Piero Montecchiari (2001)

Bollettino dell'Unione Matematica Italiana

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Si considera una classe di equazioni ellittiche semilineari su $R^{N}$ della forma $- Δ u + u = a (x) {|u|}^{p - 1} u$ con $p > 1$ sottocritico (o con nonlinearità più generali) e $a (x)$ funzione limitata. In questo articolo viene presentato un risultato di genericità sull'esistenza di infinite soluzioni, rispetto alla classe di coefficienti $a (x)$ limitati su $R^{N}$ e non negativi all'infinito.

The sum of the first $n$ terms of an ${}_{5}F_{4}$ .

Leonard Carlitz (1964)

Bollettino dell'Unione Matematica Italiana

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One-dimensional symmetry for solutions of quasilinear equations in $R^{2}$

Alberto Farina (2003)

Bollettino dell'Unione Matematica Italiana

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In this paper we consider two-dimensional quasilinear equations of the form $div (a (|\nabla u|) \nabla u) + f (u) = 0$ and study the properties of the solutions u with bounded and non-vanishing gradient. Under a weak assumption involving the growth of the argument of $\nabla u$ (notice that $arg (\nabla u)$ is a well-defined real function since $|\nabla u| > 0$ on $R^{2}$ ) we prove that $u$ is one-dimensional, i.e., $u = u (ν \cdot x)$ for some unit vector $ν$ . As a consequence of our result we obtain that any solution $u$ having one positive derivative is one-dimensional. This result provides...

Displaying similar documents to “On multivortex solutions in Chern-Simons gauge theory”

L 2 , λ -regularity for minima of variational integrals

Infinitely many solutions for a class of semilinear elliptic equations in R N

The sum of the first n terms of an F 4 5 .

One-dimensional symmetry for solutions of quasilinear equations in R 2

$L^{2, λ}$ -regularity for minima of variational integrals

Infinitely many solutions for a class of semilinear elliptic equations in $R^{N}$

The sum of the first $n$ terms of an ${}_{5}F_{4}$ .

One-dimensional symmetry for solutions of quasilinear equations in $R^{2}$