| [1] | Shao X, Tang G J. Blow-up phenomena for a kirchhoff-type parabolic equation with logarithmic nonlinearity. Applied Mathematics Letters, 2021, 116: Article 106969 | | [2] | Xiang M, Yang D, Zhang B. Degenerate Kirchhoff-type fractional diffusion problem with logarithmic nonlinearity. Asymptotic Analysis, 2020, 118(4): 313-329 | | [3] | Piskin E, C?mert T. Blow-up of solutions for a parabolic kirchhoff type equation with logarithmic nonlinearity. Gulf Journal of Mathematics, 2020, 9(2): 21-30 | | [4] | Ding H, Zhou J. Global existence and blow-up for a parabolic problem of Kirchhoff type with logarithmic nonlinearity. Applied Mathematics & Optimization, 2021, 83: 1651-1707 | | [5] | Liao M, Liu Q, Ye H. Global existence and blow-up of weak solutions for a class of fractional $p$-Laplacian evolution equations. Advances in Nonlinear Analysis, 2020, 9(1): 1569-1591 | | [6] | Shi P, Jiang M, Zeng F, et al. Initial boundary value problem for fractional $p$-Laplacian Kirchhoff type equations with logarithmic nonlinearity. Mathematical Biosciences and Engineering, 2021, 18(3): 2832-2848 | | [7] | Bidi Y, Beniani A, Bouhali K, et al. Local existence and blow-up of solutions for wave equation involving the fractional laplacian with nonlinear source term. Axioms, 2023, 12(4): 343 | | [8] | Boudjeriou T. Global existence and blow-up for the fractional $p$-Laplacian with logarithmic nonlinearity. Mediterranean Journal of Mathematics, 2020, 17(5): Article 162 | | [9] | Lian W, Wang J, Xu R Z. Global existence and blow up of solutions for pseudo-parabolic equation with singular potential. Journal of Differential Equations, 2020, 269(6): 4914-4959 | | [10] | Liu W, Yu J, Li G. Global existence, exponential decay and blow-up of solutions for a class of fractional pseudo-parabolic equations with logarithmic nonlinearity. Discrete and Continuous Dynamical Systems-S, 2021, 14(12): 4337-4366 | | [11] | Yang Y, Tian X, Zhang M. Blow-up of solutions to degenerate Kirchhoff type dissusion problems involving the fractional $p$-Laplacian. Electronic Journal of Differential Equations, 2018, 154: 1-11 | | [12] | Jiang R, Zhou J. Blow-up and global existence of solutions to a parabolic equation associated with the fraction $p$-Laplacian. Communications on Pure & Applied Analysis, 2019, 18(3): 1-6 | | [13] | Pucci P, Xiang M, Zhang B. Multiple solutions for nonhomogeneous Schr?dinger-Kirchhoff type equations involving the fractional $p$-Laplacian in $\mathbb{R}^N$. Calculus of Variations and Partial Differential Equations, 2015, 54: 2785-2806 | | [14] | Pan N, Zhang B, Cao J. Degenerate Kirchhoff-type diffusion problems involving the fractional $p$-Laplacian. Nonlinear Analysis: Real World Applications, 2017, 37: 56-70 | | [15] | Shi M, Wang J. Blow-up properties of solution for a parabolic equations involving the fractional $p$-Laplacian with logarithmic nonlinearity. Periodical of Ocean University of China, 2020, 52(4): 138-146 | | [16] | Pang Y, R?dulescu V D, Xu R Z. Global existence and finite time blow-up for the $m$-Laplacian parabolic problem. Acta Mathematica Sinica, English Series, 2023, 39(8): 1497-1524 | | [17] | Boudjeriou T. Global well-posedness and finite time blow-up for a class of wave equation involving fractional $p$-Laplacian with logarithmic nonlinearity. Mathematische Nachrichten, 2023, 296(3): 938-956 | | [18] | Zeng F, Shi P, Jiang M. Global existence and finite time blow-up for a class of fractional $p$-Laplacian Kirchhoff type equations with logarithmic nonlinearity. AIMS Math, 2021, 6(3): 2559-2578 | | [19] | Zhao Q. Initial boundary value problem of a class of pseudo-parabolic Kirchhoff equations with logarithmic nonlinearity. arXiv preprint, 2021, arXiv:2104.01597 | | [20] | Ding H, Zhou J. Global existence and blow-up for a parabolic problem of Kirchhoff type with logarithmic nonlinearity. Applied Mathematics & Optimization, 2021, 83: 1651-1707 | | [21] | Alves C O, Boudjeriou T. Existence of solution for a class of nonlocal problem via dynamical methods. Rendiconti del Circolo Matematico di Palermo Series, 2021, 2: 1-22 | | [22] | Xiang M Q, Zhang B L, Qiu H. Existence of solutions for a critical fractional Kirchhoff type problem in $\mathbb{R}^N$. Science China Mathematics, 2017, 60: 1647-1660 | | [23] | Lin Q, Tian X, Xu R, et al. Blow up and blow up time for degenerate Kirchhoff-type wave problems involving the fractional Laplacian with arbitrary positive initial energy. Discrete & Continuous Dynamical Systems-Series S, 2020, 13(7): 2095-2107 | | [24] | Guo H, Zhang Y, Zhou H S. Blow-up solutions for a Kirchhoff type elliptic equation with trapping potential. arXiv preprint, 2017, arXiv:1707.02445 | | [25] | Mingqi X, R?dulescu V D, Zhang B. Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions. Nonlinearity, 2018, 31(7): 3228 | | [26] | Zhou J. Global existence and blow-up of solutions for a Kirchhoff type plate equation with damping. Applied Mathematics and Computation, 2015, 265: 807-818 | | [27] | Hiramatsu T, Kawasaki M, Takahashi F. Numerical study of Q-ball formation in gravity mediation. Journal of Cosmology and Astroparticle Physics, 2010, 2010(6): 008 | | [28] | Zhang H W, Liu G W, Hu Q Y. Exponential decay of energy for a logarithmic wave equation. Partial Differ Equ, 2015, 28(3): 269-277 | | [29] | Ji S, Yin J, Cao Y. Instability of positive periodic solutions for semilinear pseudo-parabolic equations with logarithmic nonlinearity. Journal of Differential Equations, 2016, 261(10): 5446-5464 | | [30] | Chen H, Tian S. Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity. Journal of Differential Equations, 2015, 258(12): 4424-4442 | | [31] | Ding H, Zhou J. Global existence and blow-up for a mixed pseudo-parabolic $p$-Laplacian type equation with logarithmic nonlinearity. Journal of Mathematical Analysis and Applications, 2019, 478(2): 393-420 | | [32] | Ji C, Szulkin A. A logarithmic Schr?dinger equation with asymptotic conditions on the potential. Journal of Mathematical Analysis and Applications, 2016, 437(1): 241-254 | | [33] | 温兰, 杨晗. 一类带对数非线性源项的 $p$-Laplace 抛物方程解的存在性与爆破. 应用数学, 2022, 35(3): 544-552 | | [33] | Wen Lan, Yang Han. Global existence and blow-up of solutions for a class of $p$-Laplacian parabolic equations with logarithmic nonlinearity. Mathematica Applicata, 2022, 35(3): 544-552 |
|
),李阳晨*(