Normalized solutions for critical Schrödinger equations involving (2,q)-Laplacian

• Autorzy: Wei Lulu , Song Yueqiang

Identyfikatory

DOI

10.7494/OpMath.2025.45.5.685

• Języki publikacji: EN

Abstrakty

EN

In this paper, we consider the following critical Schrödinger equation involving (2, q)-Laplacian: [formula] The meaningful and interesting phenomenon is the simultaneous occurrence of (2, q)-Laplacian and critical nonlinearity in the above equation. In order to obtain existence of multiple normalized solutions for such equation, we need to make a detailed estimate. More precisely, for the L2-subcritical case, we use the truncation technique, concentration-compactness principle and the genus theory to get the existence of multiple normalized solutions. For the L2-supercritical case, we obtain a couple of normalized solution for the above equation by a fiber map and concentration-compactness principle.

Słowa kluczowe

EN

Schrödinger equation; (2, q)-Laplacian; variational methods; critical growth; normalized solutions

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2025
• Tom: Vol. 45, no. 5
• Strony: 685--716
• Opis fizyczny: Bibliogr. 53 poz.

Twórcy

autor

Wei Lulu

• Changchun Normal University, College of Mathematics, Changchun, 130032, P.R. China

• https://orcid.org/0009-0008-8100-2425

autor

Song Yueqiang

• Changchun Normal University, College of Mathematics, Changchun, 130032, P.R. China

• https://orcid.org/0000-0003-3570-3956

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025)