Uncountably Many Solutions for Nonlinear Helmholtz and Curl-Curl Equations

zu Verbundenen Objekten

Abstract: We obtain uncountably many solutions of nonlinear Helmholtz and curl-curl equations on the entire space using a fixed point approach. The constructed solutions are mildly localized as they lie in the essential spectrum of the corresponding linear operator. As a new auxiliary tool a limiting absorption principle for the curl-curl operator is proved.

Standort: Deutsche Nationalbibliothek Frankfurt am Main

Umfang: Online-Ressource

Sprache: Englisch

Erschienen in: Uncountably Many Solutions for Nonlinear Helmholtz and Curl-Curl Equations ; volume:19 ; number:3 ; year:2019 ; pages:569-593 ; extent:25
Advanced nonlinear studies ; 19, Heft 3 (2019), 569-593 (gesamt 25)

Urheber: Mandel, Rainer

DOI: 10.1515/ans-2019-2050

URN: urn:nbn:de:101:1-2405031618047.447635016067

Rechteinformation: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Letzte Aktualisierung: 14.08.2025, 11:00 MESZ

Datenpartner

Dieses Objekt wird bereitgestellt von:
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.

Original beim Datenpartner anzeigen

Beteiligte

Mandel, Rainer

Ähnliche Objekte (12)

Breathers and rogue waves for semilinear curl-curl wave equations

Hochschulschrift

Mono- and polychromatic ground states for semilinear curl-curl wave equations

$Multiple Solutions to a Nonlinear Curl–Curl Problem in $$\mathbb R}}^3$$ R 3$

Multiple Solutions to a Nonlinear Curl–Curl Problem in $$\mathbb R}}^3$$ R 3

$Rotations with Constant $$\mathbf {\text curl }}}$$ curl are Constant$

Rotations with Constant $$\mathbf {\text curl }}}$$ curl are Constant

Illustration

Livonia & Curl. Duc.

Normalized Solutions to at Least Mass Critical Problems: Singular Polyharmonic Equations and Related Curl–Curl Problems

$On $$[H^1}]^{3 \times 3}$$ [ H 1 ] 3 × 3 , $$[H(\text curl})]^3$$ [ H ( curl ) ] 3 and $$H(\text sym Curl})$$ H ( sym Curl ) finite elements for matrix-valued Curl problems$

On $$[H^1}]^{3 \times 3}$$ [ H 1 ] 3 × 3 , $$[H(\text curl})]^3$$ [ H ( curl ) ] 3 and $$H(\text sym Curl})$$ H ( sym Curl ) finite elements for matrix-valued Curl problems

Film

Curl Girls 5 + 6

Film

Curl Girls 1 - 4

A Sobolev-Type Inequality for the Curl Operator and Ground States for the Curl–Curl Equation with Critical Sobolev Exponent

Haarfestiger (Frisier-Lotion (Kurpackung))

WELLA SP CURL VITAL KURSPRAY

Fotografie | Porträt

Curl Truhel, Lehrer Bergschule Bochum

Breathers and rogue waves for semilinear curl-curl wave equations

Hochschulschrift

Mono- and polychromatic ground states for semilinear curl-curl wave equations

$Multiple Solutions to a Nonlinear Curl–Curl Problem in $$\mathbb R}}^3$$ R 3$

Multiple Solutions to a Nonlinear Curl–Curl Problem in $$\mathbb R}}^3$$ R 3

$Rotations with Constant $$\mathbf {\text curl }}}$$ curl are Constant$

Rotations with Constant $$\mathbf {\text curl }}}$$ curl are Constant

Illustration

Livonia & Curl. Duc.

Normalized Solutions to at Least Mass Critical Problems: Singular Polyharmonic Equations and Related Curl–Curl Problems

$On $$[H^1}]^{3 \times 3}$$ [ H 1 ] 3 × 3 , $$[H(\text curl})]^3$$ [ H ( curl ) ] 3 and $$H(\text sym Curl})$$ H ( sym Curl ) finite elements for matrix-valued Curl problems$

On $$[H^1}]^{3 \times 3}$$ [ H 1 ] 3 × 3 , $$[H(\text curl})]^3$$ [ H ( curl ) ] 3 and $$H(\text sym Curl})$$ H ( sym Curl ) finite elements for matrix-valued Curl problems

Film

Curl Girls 5 + 6

Film

Curl Girls 1 - 4

A Sobolev-Type Inequality for the Curl Operator and Ground States for the Curl–Curl Equation with Critical Sobolev Exponent

Haarfestiger (Frisier-Lotion (Kurpackung))

WELLA SP CURL VITAL KURSPRAY

Fotografie | Porträt

Curl Truhel, Lehrer Bergschule Bochum

Breathers and rogue waves for semilinear curl-curl wave equations

Hochschulschrift

Mono- and polychromatic ground states for semilinear curl-curl wave equations

$Multiple Solutions to a Nonlinear Curl–Curl Problem in $$\mathbb R}}^3$$ R 3$

Multiple Solutions to a Nonlinear Curl–Curl Problem in $$\mathbb R}}^3$$ R 3

$Rotations with Constant $$\mathbf {\text curl }}}$$ curl are Constant$

Rotations with Constant $$\mathbf {\text curl }}}$$ curl are Constant

Illustration

Livonia & Curl. Duc.

Normalized Solutions to at Least Mass Critical Problems: Singular Polyharmonic Equations and Related Curl–Curl Problems

$On $$[H^1}]^{3 \times 3}$$ [ H 1 ] 3 × 3 , $$[H(\text curl})]^3$$ [ H ( curl ) ] 3 and $$H(\text sym Curl})$$ H ( sym Curl ) finite elements for matrix-valued Curl problems$

On $$[H^1}]^{3 \times 3}$$ [ H 1 ] 3 × 3 , $$[H(\text curl})]^3$$ [ H ( curl ) ] 3 and $$H(\text sym Curl})$$ H ( sym Curl ) finite elements for matrix-valued Curl problems

Film

Curl Girls 5 + 6

Film

Curl Girls 1 - 4

A Sobolev-Type Inequality for the Curl Operator and Ground States for the Curl–Curl Equation with Critical Sobolev Exponent

Haarfestiger (Frisier-Lotion (Kurpackung))

WELLA SP CURL VITAL KURSPRAY

Fotografie | Porträt

Curl Truhel, Lehrer Bergschule Bochum

Informationen zur Registrierung von Kultur- und Wissenseinrichtungen finden Sie hier.

Felder mit * müssen ausgefüllt werden.

Benutzername*

Bitte geben Sie Ihren Benutzernamen ein

E-Mail*

Bitte geben Sie Ihre E-Mail ein

Bitte füllen Sie dieses Feld nicht aus

Vorname

Nachname

Passwort*

Bitte geben Sie Ihr Passwort ein

Passwort bestätigen*

Bitte geben Sie das gleiche Passwort ein

Ich habe die Nutzungsbedingungen und die Datenschutzerklärung zur Erhebung persönlicher Daten gelesen und stimme ihnen zu. *

Dieses Feld ist ein Pflichtfeld.

Ich möchte den Newsletter der Deutschen Digitalen Bibliothek abonnieren. Siehe Informationen zum Newsletter-Abonnement.

Benutzerkonto angelegt

Ihr „Meine DDB“-Konto wurde erfolgreich angelegt. Bevor Sie sich in Ihrem Konto anmelden können, müssen Sie auf den Bestätigungslink in der Nachricht klicken, die wir gerade an die von Ihnen angegebene E-Mail-Adresse geschickt haben

Uncountably Many Solutions for Nonlinear Helmholtz and Curl-Curl Equations

Angaben zum Objekt

Verweise und Beziehungen

Beteiligte, Orts- und Zeitangaben

Weitere Informationen

Datenpartner

Beteiligte

Ähnliche Objekte (12)

Breathers and rogue waves for semilinear curl-curl wave equations

Mono- and polychromatic ground states for semilinear curl-curl wave equations

Multiple Solutions to a Nonlinear Curl–Curl Problem in $$\mathbb R}}^3$$ R 3

Rotations with Constant $$\mathbf {\text curl }}}$$ curl are Constant

Livonia & Curl. Duc.

Normalized Solutions to at Least Mass Critical Problems: Singular Polyharmonic Equations and Related Curl–Curl Problems

On $$[H^1}]^{3 \times 3}$$ [ H 1 ] 3 × 3 , $$[H(\text curl})]^3$$ [ H ( curl ) ] 3 and $$H(\text sym Curl})$$ H ( sym Curl ) finite elements for matrix-valued Curl problems

Curl Girls 5 + 6

Curl Girls 1 - 4

A Sobolev-Type Inequality for the Curl Operator and Ground States for the Curl–Curl Equation with Critical Sobolev Exponent

WELLA SP CURL VITAL KURSPRAY

Curl Truhel, Lehrer Bergschule Bochum

Breathers and rogue waves for semilinear curl-curl wave equations

Mono- and polychromatic ground states for semilinear curl-curl wave equations

Multiple Solutions to a Nonlinear Curl–Curl Problem in $$\mathbb R}}^3$$ R 3

Rotations with Constant $$\mathbf {\text curl }}}$$ curl are Constant

Livonia & Curl. Duc.

Normalized Solutions to at Least Mass Critical Problems: Singular Polyharmonic Equations and Related Curl–Curl Problems

On $$[H^1}]^{3 \times 3}$$ [ H 1 ] 3 × 3 , $$[H(\text curl})]^3$$ [ H ( curl ) ] 3 and $$H(\text sym Curl})$$ H ( sym Curl ) finite elements for matrix-valued Curl problems

Curl Girls 5 + 6

Curl Girls 1 - 4

A Sobolev-Type Inequality for the Curl Operator and Ground States for the Curl–Curl Equation with Critical Sobolev Exponent

WELLA SP CURL VITAL KURSPRAY

Curl Truhel, Lehrer Bergschule Bochum

Breathers and rogue waves for semilinear curl-curl wave equations

Mono- and polychromatic ground states for semilinear curl-curl wave equations

Multiple Solutions to a Nonlinear Curl–Curl Problem in $$\mathbb R}}^3$$ R 3

Rotations with Constant $$\mathbf {\text curl }}}$$ curl are Constant

Livonia & Curl. Duc.

Normalized Solutions to at Least Mass Critical Problems: Singular Polyharmonic Equations and Related Curl–Curl Problems

On $$[H^1}]^{3 \times 3}$$ [ H 1 ] 3 × 3 , $$[H(\text curl})]^3$$ [ H ( curl ) ] 3 and $$H(\text sym Curl})$$ H ( sym Curl ) finite elements for matrix-valued Curl problems

Curl Girls 5 + 6

Curl Girls 1 - 4

A Sobolev-Type Inequality for the Curl Operator and Ground States for the Curl–Curl Equation with Critical Sobolev Exponent

WELLA SP CURL VITAL KURSPRAY

Curl Truhel, Lehrer Bergschule Bochum

Verbundene Objekte

Passwort zurücksetzen