Solutions to a nonlinear Maxwell equation with two competing nonlinearities in R3

• Autorzy: Bieganowski Bartosz

Identyfikatory

DOI

10.4064/ba210731-19-8

• Języki publikacji: EN

Abstrakty

EN

We are interested in the nonlinear, time-harmonic Maxwell equation ∇(∇E)+V(x)E=h(x,E) in R³ with sign-changing nonlinear term h, i.e. we assume that h is of the form h(x,αw)=f(x,α)w−g(x,α)w for w∈R³, |w|=1 and α∈R. In particular, we can consider the nonlinearity consisting of two competing powers, h(x,E)=|E|^p−2E−|E|^q−2E with 2

Słowa kluczowe

EN

variational methods; Maxwell equations; singular potential; nonlinear Schrödinger equation; sign-changing nonlinearities.

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2021
• Tom: Vol. 69, no. 1
• Strony: 37--60
• Opis fizyczny: Bibliogr. 19 poz

Twórcy

autor

Bieganowski Bartosz

• Institute of Mathematics Polish Academy of Sciences, Śniadeckich 8, 00-656 Warszawa, Poland
• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Bibliografia

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