Ground and Bound State Solutions of Semilinear Time-Harmonic Maxwell Equations in a Bounded Domain
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| 001 | 605515182 | ||
| 003 | CHVBK | ||
| 005 | 20210128100707.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150101xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00205-014-0778-1 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-014-0778-1 | ||
| 245 | 0 | 0 | |a Ground and Bound State Solutions of Semilinear Time-Harmonic Maxwell Equations in a Bounded Domain |h [Elektronische Daten] |c [Thomas Bartsch, Jarosław Mederski] |
| 520 | 3 |
|a We find solutions $${E : \Omega \to \mathbb{R}^3}$$ E : Ω → R 3 of the problem $$\left\{\begin{aligned}&\nabla \times(\nabla \times E) + \lambda E = \partial_E F(x, E) &&\quad \text{in }\quad \Omega \\& \nu \times E = 0 &&\quad \text{on }\quad \partial \Omega \end{aligned} \right.$$ ∇ × ( ∇ × E ) + λ E = ∂ E F ( x , E ) in Ω ν × E = 0 on ∂ Ω on a simply connected, smooth, bounded domain $${\Omega \subset \mathbb{R}^3}$$ Ω ⊂ R 3 with connected boundary and exterior normal $${\nu : \partial \Omega \to \mathbb{R}^3}$$ ν : ∂ Ω → R 3 . Here $${\nabla \times}$$ ∇ × denotes the curl operator in $${\mathbb{R}^3}$$ R 3 , the nonlinearity $${F : \Omega \times \mathbb{R}^3 \to \mathbb{R}}$$ F : Ω × R 3 → R is superquadratic and subcritical in E. The model nonlinearity is of the form $${F(x, E)=\Gamma(x) |E|^p}$$ F ( x , E ) = Γ ( x ) | E | p for $${\Gamma \in L^\infty(\Omega)}$$ Γ ∈ L ∞ ( Ω ) positive, some 2 | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2014 | ||
| 700 | 1 | |a Bartsch |D Thomas |u Mathematisches Institut, Universität Giessen, Arndtstr. 2, 35392, Giessen, Germany |4 aut | |
| 700 | 1 | |a Mederski |D Jarosław |u Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, ul. Chopina 12/18, 87-100, Toruń, Poland |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 215/1(2015-01-01), 283-306 |x 0003-9527 |q 215:1<283 |1 2015 |2 215 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-014-0778-1 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-014-0778-1 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Bartsch |D Thomas |u Mathematisches Institut, Universität Giessen, Arndtstr. 2, 35392, Giessen, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Mederski |D Jarosław |u Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, ul. Chopina 12/18, 87-100, Toruń, Poland |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 215/1(2015-01-01), 283-306 |x 0003-9527 |q 215:1<283 |1 2015 |2 215 |o 205 | ||