@misc{10481/102757,
year = {2025},
month = {2},
url = {https://hdl.handle.net/10481/102757},
abstract = {This paper is concerned with the existence of normalized solutions to a class of (2, q)-Laplacian equations in all the possible cases with respect to the mass critical exponents 2(1 + 2/N), q(1 + 2/N). In the mass subcritical cases, we study a global minimization problem and obtain a ground state solution. While in the mass critical cases, we prove several nonexistence results. At last, we derive a ground state and infinitely many radial solutions in the mass supercritical case. Compared with the classical Schrödinger equation, the (2, q)-Laplacian equation possesses a quasi-linear term, which brings in some new difficulties and requires a more subtle analysis technique. Moreover, the vector field 
→
a
(
ξ
)
=
|
ξ
|
q
−
2
ξ
 corresponding to the q-Laplacian is not strictly monotone when q < 2, so we shall consider separately the case q < 2 and the case q > 2.},
organization = {National Natural Science Foundation of China (Grant No.
12201564)},
organization = {Scientific Research Fund (Grant No. YS304221948)},
organization = {Young Doctor Program of Zhejiang
Normal University (Grant No. ZZ323205020520013055)},
organization = {National Science Centre, Poland (Grant No.
2020/37/B/ST1/02742)},
organization = {Gruppo Nazionale
per l’Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta
Matematica (INdAM)},
publisher = {De Gruyter},
keywords = {(2, q)-Laplacian},
keywords = {normalized solutions},
keywords = {ground state solutions},
title = {Normalized solutions to a class of (2, q)-Laplacian equations},
doi = {10.1515/ans-2023-0163},
author = {Baldelli, Laura and Yang, Tao},
}