Davide Guidetti. Source: Advances in Differential Equations, Volume 25, Number 7/8, 335--372.Abstract: We show a perturbation theorem of Myiadera type for linear abstract non-autonomous Cauchy problems. We exhibit an application to a hyperbolic system with dynamic boundary conditions. ...
Wenjing Zhu, Yonghui Xia, Yuzhen Bai. Source: Advances in Differential Equations, Volume 25, Number 5/6, 279--314.Abstract: This paper is to find new exact traveling wave solutions of the nonlinear Gerdjikov-Ivanov (for short, GI) equation with perturbation terms. Based on employing the...
Huashui Zhan, Zhaosheng Feng. Source: Advances in Differential Equations, Volume 25, Number 5/6, 255--278.Abstract: We are concerned with the stability of polytropic filtration equation with variable exponents, when the degeneracy occurs on the boundary. The existence and the local integrability...
Yanbo Hu, Jiequan Li. Source: Advances in Differential Equations, Volume 25, Number 5/6, 213--254.Abstract: Supersonic-sonic patches are ubiquitous in regions of transonic flows and they boil down to a family of degenerate hyperbolic problems in regions surrounded by a streamline, a characteristic...
Liangchen Li, Hengyan Li, Weiping Yan. Source: Advances in Differential Equations, Volume 25, Number 5/6, 315--334.Abstract: This paper mainly studies the explicit wave-breaking mechanism and dynamical behavior of solutions near the explicit self-similar singularity for the Camassa-Holm and...
Bin Ge, Li-Yan Wang. Source: Advances in Differential Equations, Volume 25, Number 3/4, 191--212.Abstract: We are concerned with the following $p(x)$-Laplacian equations in $\mathbb{R}^N$ $$ -\triangle_{p(x)} u+V(x)|u|^{p(x)-2}u= f(x,u)\ \ {\rm in }\; \mathbb{R}^N. $$ Based on a direct sum...
Rui Yang, Yong-Hoon Lee. Source: Advances in Differential Equations, Volume 25, Number 3/4, 161--190.Abstract: In this paper, we study the existence of positive radial solutions for a prescribed mean curvature problem on an exterior domain. Based on $C^1$-regularity of solutions, which is closely...
Xinfu Li, Shiwang Ma, Guang Zhang. Source: Advances in Differential Equations, Volume 25, Number 3/4, 135--160.Abstract: In this paper, the upper critical fractional Choquard equation is considered. The interest in studying such equation comes from its strong connections with mathematical physics,...
Daomin Cao, Jinchun He, Haoyuan Xu, Meihua Yang. Source: Advances in Differential Equations, Volume 25, Number 3/4, 105--134.Abstract: In this paper, we prove the existence of the positive ground state solution to fractional spin-1 Bose-Einstein condensation(BEC) in one dimension. ...
Takashi Suzuki. Source: Advances in Differential Equations, Volume 25, Number 1/2, 81--104.Abstract: We study quasi-positive dissipative reaction diffusion systems with polynomial growth and show several criteria for global-in-time existence of the classical solution uniformly bounded. ...
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