# American Institute of Mathematical Sciences

1998, 1998(Special): 360-370. doi: 10.3934/proc.1998.1998.360

## Zeros of solutions of $\Delta u + f(u) = 0$ in the supercritical case

 1 Department Of Mathematical Sciences, Ball State University, Muncie, Indiana 47306, United States

Published  November 2013

Citation: Michael A. Karls. Zeros of solutions of $\Delta u + f(u) = 0$ in the supercritical case. Conference Publications, 1998, 1998 (Special) : 360-370. doi: 10.3934/proc.1998.1998.360
 [1] Renato Manfrin. On the boundedness of solutions of the equation $u''+(1+f(t))u=0$. Discrete & Continuous Dynamical Systems, 2009, 23 (3) : 991-1008. doi: 10.3934/dcds.2009.23.991 [2] Luca Battaglia, Francesca Gladiali, Massimo Grossi. Asymptotic behavior of minimal solutions of $-\Delta u = \lambda f(u)$ as $\lambda\to-\infty$. Discrete & Continuous Dynamical Systems, 2021, 41 (2) : 681-700. doi: 10.3934/dcds.2020293 [3] S. E. Kuznetsov. An upper bound for positive solutions of the equation \Delta u=u^\alpha. Electronic Research Announcements, 2004, 10: 103-112. [4] Ka Luen Cheung, Man Chun Leung. Asymptotic behavior of positive solutions of the equation $\Delta u + K u^{\frac{n+2}{n-2}} = 0$ in $IR^n$ and positive scalar curvature. Conference Publications, 2001, 2001 (Special) : 109-120. doi: 10.3934/proc.2001.2001.109 [5] Yijing Sun. Estimates for extremal values of $-\Delta u= h(x) u^{q}+\lambda W(x) u^{p}$. Communications on Pure & Applied Analysis, 2010, 9 (3) : 751-760. doi: 10.3934/cpaa.2010.9.751 [6] Abdelbaki Selmi, Abdellaziz Harrabi, Cherif Zaidi. Nonexistence results on the space or the half space of $-\Delta u+\lambda u = |u|^{p-1}u$ via the Morse index. Communications on Pure & Applied Analysis, 2020, 19 (5) : 2839-2852. doi: 10.3934/cpaa.2020124 [7] Tatsien Li, Yi Zhou. Breakdown of solutions to $\square u+u_t=|u|^{1+\alpha}$. Discrete & Continuous Dynamical Systems, 1995, 1 (4) : 503-520. doi: 10.3934/dcds.1995.1.503 [8] Soohyun Bae. On the elliptic equation Δu+K up = 0 in $\mathbb{R}$n. Discrete & Continuous Dynamical Systems, 2013, 33 (2) : 555-577. doi: 10.3934/dcds.2013.33.555 [9] Karim Samei, Arezoo Soufi. Quadratic residue codes over $\mathbb{F}_{p^r}+{u_1}\mathbb{F}_{p^r}+{u_2}\mathbb{F}_{p^r}+...+{u_t}\mathbb{F}_ {p^r}$. Advances in Mathematics of Communications, 2017, 11 (4) : 791-804. doi: 10.3934/amc.2017058 [10] Hongzi Cong, Jianjun Liu, Xiaoping Yuan. Quasi-periodic solutions for complex Ginzburg-Landau equation of nonlinearity $|u|^{2p}u$. Discrete & Continuous Dynamical Systems - S, 2010, 3 (4) : 579-600. doi: 10.3934/dcdss.2010.3.579 [11] Hongwei Liu, Jingge Liu. On $\sigma$-self-orthogonal constacyclic codes over $\mathbb F_{p^m}+u\mathbb F_{p^m}$. Advances in Mathematics of Communications, 2020  doi: 10.3934/amc.2020127 [12] Minjia Shi, Yaqi Lu. Cyclic DNA codes over $\mathbb{F}_2[u,v]/\langle u^3, v^2-v, vu-uv\rangle$. Advances in Mathematics of Communications, 2019, 13 (1) : 157-164. doi: 10.3934/amc.2019009 [13] Hai Q. Dinh, Bac T. Nguyen, Paravee Maneejuk. Constacyclic codes of length $8p^s$ over $\mathbb F_{p^m} + u\mathbb F_{p^m}$. Advances in Mathematics of Communications, 2020  doi: 10.3934/amc.2020123 [14] Yonglin Cao, Yuan Cao, Hai Q. Dinh, Fang-Wei Fu, Jian Gao, Songsak Sriboonchitta. Constacyclic codes of length $np^s$ over $\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}$. Advances in Mathematics of Communications, 2018, 12 (2) : 231-262. doi: 10.3934/amc.2018016 [15] Fanghui Ma, Jian Gao, Fang-Wei Fu. New non-binary quantum codes from constacyclic codes over $\mathbb{F}_q[u,v]/\langle u^{2}-1, v^{2}-v, uv-vu\rangle$. Advances in Mathematics of Communications, 2019, 13 (3) : 421-434. doi: 10.3934/amc.2019027 [16] Xuecheng Wang. Global solution for the $3D$ quadratic Schrödinger equation of $Q(u, \bar{u}$) type. Discrete & Continuous Dynamical Systems, 2017, 37 (9) : 5037-5048. doi: 10.3934/dcds.2017217 [17] Connor Mooney, Ovidiu Savin. Regularity results for the equation $u_{11}u_{22} = 1$. Discrete & Continuous Dynamical Systems, 2019, 39 (12) : 6865-6876. doi: 10.3934/dcds.2019235 [18] Hsin-Yuan Huang. Vortex Condensation in General U(1)×U(1) Abelian Chern-Simons Model on a flat torus. Discrete & Continuous Dynamical Systems - B, 2021  doi: 10.3934/dcdsb.2021234 [19] Xuanji Hou, Lei Jiao. On local rigidity of reducibility of analytic quasi-periodic cocycles on $U(n)$. Discrete & Continuous Dynamical Systems, 2016, 36 (6) : 3125-3152. doi: 10.3934/dcds.2016.36.3125 [20] Xuanji Hou, Jiangong You. Local rigidity of reducibility of analytic quasi-periodic cocycles on $U(n)$. Discrete & Continuous Dynamical Systems, 2009, 24 (2) : 441-454. doi: 10.3934/dcds.2009.24.441

Impact Factor: