Results 31 to 40 of about 2,542,949 (203)

Schrodinger systems with a convection term for the $(p_1,...,p_d)$-Laplacian in $R^N$

Electronic Journal of Differential Equations, 2012
The main goal is to study nonlinear Schrodinger type problems for the $(p_1,dots ,p_d)$-Laplacian with nonlinearities satisfying Keller- Osserman conditions.
Dragos-Patru Covei
doaj  

Asymptotic behavior and uniqueness of entire large solutions to a quasilinear elliptic equation

Electronic Journal of Qualitative Theory of Differential Equations, 2017
In this paper, combining the upper and lower solution method with perturbation theory, we study the asymptotic behavior of entire large solutions to Eq. $\Delta_{p}u=b(x)f(u),\,u(x)>0,\,x\in\mathbb{R},$ where $b\in C^{\alpha}_{\rm loc}(\mathbb{R}^{N})$ $(
Haitao Wan
doaj   +1 more source

On determinants of modified Bessel functions and entire solutions of double confluent Heun equations

, 2016
We investigate the question on existence of entire solutions of well-known linear differential equations that are linearizations of nonlinear equations modeling the Josephson effect in superconductivity. We consider the modified Bessel functions $I_j(x)$
Buchstaber, Victor M., Glutsyuk, Alexey A.   +1 more
core   +3 more sources

On Solutions of

Journal of Inequalities and Applications, 2002
Rotationally symmetric solutions are derived for some nonlinear equations of the form in the title in terms of elementary functions. Under suitable assumptions, the nonexistence of entire solutions is also proved for the inequality in the title as well ...
Schaefer Philip W, Goyal Sulbha, Goyal Vinod   +2 more
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An asymptotic monotonicity formula for minimizers of elliptic systems of Allen-Cahn type and the Liouville property

Electronic Journal of Differential Equations, 2021
We prove an asymptotic monotonicity formula for bounded, globally minimizing solutions (in the sense of Morse) to a class of semilinear elliptic systems of the form $\Delta u= W_u(u)$, $x\in \mathbb{R}^n$, $n\geq 2$, with $W:\mathbb{R}^m\to \mathbb{R}$
Christos Sourdis
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Entire solutions of the spruce budworm model

Advances in Difference Equations, 2018
This paper is concerned with the entire solutions of the spruce budworm model, i.e., solutions defined for all (x,t)∈R2 $(x,t)\in \mathbb{R}^{2}$. Using the comparison argument and sub-super-solution method, three types of the entire solutions are ...
Lina Wang
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Multiple entire solutions of fractional Laplacian Schrödinger equations

AIMS Mathematics, 2021
$ \begin{align*} \begin{cases} (-\Delta)^s u+V(x)u = f(x,u), \; \; \; x\in \mathbb{R}^N ,\\ u\in H^{s}(\mathbb {R}^N) , \\ \end{cases} \end{align*} $ where both $ V(x) $ and $ f(x, u) $ are periodic in $ x $, $ 0 $ belongs to a spectral gap of
Jian Wang, Zhuoran Du
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On nonnegative entire solutions of second-order semilinear elliptic systems

Electronic Journal of Differential Equations, 2003
We consider the second-order semilinear elliptic system $$ Delta u_i=P_i(x)u_{i+1}^{alpha_i}quadhbox{in }mathbb{R}^N, quad i=1,2,dots,m $$ with nonnegative continuous functions $P_i$.
Tomomitsu Teramoto
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On the growth of solutions of some higher order linear differential equations with entire coefficients

Electronic Journal of Qualitative Theory of Differential Equations, 2011
In this paper, we investigate the order and the hyper-order of entire solutions of the linear differential equation \begin{equation*} f^{\left( k\right) }+\left( D_{k-1}+B_{k-1}e^{b_{k-1}z}\right) f^{\left(k-1\right) }+ ...
H. Habib, B. Belaidi
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Bounded index, entire solutions of ordinary differential equations and summability methods

International Journal of Mathematics and Mathematical Sciences, 1981
A brief survey of recent results on functions of bounded index and bounded index summability methods is given. Theorems on entire solutions of ordinary differential equations with polynomial coefficients are included.
G. H. Fricke, Ranjan Roy, S. M. Shah
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