Normalized Solutions for Two Classes of Kirchhoff Problems with Exponential Critical Growth

被引：0
作者：
Liu Gao
Zhong Tan
机构：
[1] Xiamen University,School of Mathematical Sciences
[2] Shenzhen Research Institute of Xiamen University,undefined
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2024年 / 47卷
关键词：
Kirchhoff problem; Existence; Normalized solutions; Exponential critical growth; Potential; 35J20; 35J60;
D O I：
暂无
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摘要：
In this paper, we are devoted to studying two classes of non-autonomous Kirchhoff problems with the potential term. To be precise, we assume the potential term satisfies different assumptions and the nonlinearity enjoys exponential critical growth. Based on the Trudinger–Moser inequality, we derive the existence of normalized solutions for two classes of Kirchhoff problems. Our results are new and improve and complement some related literature.
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[1]  
AdimurthiYadava SL(1990)Multiplicity results for semilinear elliptic equations in a bounded domain of Ann. Scuola Norm. Sup. Pisa Cl. Sci. 17 481-504
[2]  
Alves CO(2022) involving critical exponents Calc. Var. Part. Differ. Equ. 61 18-251
[3]  
Ji C(2017)Normalized solutions for a Schrödinger equation with critical growth in Commun. Math. Phys. 353 229-2058
[4]  
Miyagaki OH(2016)Existence and stability of standing waves for supercritical NLS with a partial confinement SIAM J. Math. Anal. 48 2028-435
[5]  
Bellazzini J(1992)On dipolar quantum gases in the unstable regime Commun. Part. Differ. Equ. 17 407-806
[6]  
Boussaid N(2023)Nontrivial solution of semilinear elliptic equation with critical exponent in J. Geom. Anal. 33 83-1660
[7]  
Jeanjean L(2021)Normalized ground state solutions of nonlinear Schrödinger equations involving exponential critical growth Appl. Math. Optim. 84 773-406
[8]  
Visciglia N(2020)Normalized solutions of nonautonomous Kirchhoff equations: sub- and super-critical cases J. Geom. Anal. 30 1637-1659
[9]  
Bellazzini J(2023)Normalized solutions for nonautonomous Schrödinger equations on a suitable manifold Math. Methods Appl. Sci. 2022 5542054-9117
[10]  
Jeanjean L(2022)Existence and multiplicity of solutions for a class of critical anisotropic elliptic equations of Schrodinger–Kirchhoff-type J. Funct. Spaces 33 236-7123
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