Results 31 to 40 of about 89 (80)

Lane-Emden equations perturbed by nonhomogeneous potential in the super critical case

Advances in Nonlinear Analysis, 2021
Our purpose of this paper is to study positive solutions of Lane-Emden ...
Ma Yong, Wang Ying, Ledesma César T.
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Periodic Solutions of Non-autonomous Allen–Cahn Equations Involving Fractional Laplacian

Advanced Nonlinear Studies, 2020
We consider periodic solutions of the following problem associated with the fractional Laplacian: (-∂x⁢x)s⁢u⁢(x)+∂u⁡F⁢(x,u⁢(x))=0{(-\partial_{xx})^{s}u(x)+\partial_{u}F(x,u(x))=0} in ℝ{\mathbb{R}}.
Feng Zhenping, Du Zhuoran
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Well-Possedness and Iterative Approximation for Elliptic Problems with Nonlinear Logarithmic Robin Boundary Conditions

In this paper, we investigate an elliptic boundary value problem involving a nonlinear logarithmic Robin boundary condition. The problem is formulated on a smooth bounded domain of $\R^2$ with mixed Dirichlet--Neumann--Robin boundary conditions.
Gmar Benhenda, Chokri Elhechmi
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Nodal-Layer Resolution and Morse-Index Reliability in Numerical Continuation of Saturating Semilinear Elliptic Problems

A numerically converged nonlinear solution need not have a numerically converged Morse index. We study this separation for sign-changing solutions of saturating semilinear elliptic equations \((-\Delta u=\sigma g(u))\) with homogeneous Dirichlet ...
Joshua O. Oladele, Charles Kokoroko, Priscilla Kwofie   +2 more
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The existence and boundary behavior of large solutions to semilinear elliptic equations with nonlinear gradient terms

Advances in Nonlinear Analysis, 2014
In this paper, for more general f, g and a, b, we obtain conditions about the existence and boundary behavior of solutions to boundary blow-up elliptic problems ▵u=a(x)g(u)+b(x)f(u)|∇u|q,x∈Ω,u|∂Ω=+∞$ \triangle u=a(x)g(u)+ b(x) f(u)|\nabla u|^q,\quad x\in
Zhang Zhijun
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An upper bound for the least energy of a sign-changing solution to a zero mass problem

Advanced Nonlinear Studies
We give an upper bound for the least possible energy of a sign-changing solution to the nonlinear scalar field equation −Δu=f(u),u∈D1,2(RN), $-{\Delta}u=f\left(u\right), u\in {D}^{1,2}\left({\mathrm{R}}^{N}\right),$ where N ≥ 5 and the nonlinearity f is
Clapp Mónica, Maia Liliane, Pellacci Benedetta   +2 more
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Exact behavior around isolated singularity for semilinear elliptic equations with a log-type nonlinearity

Advances in Nonlinear Analysis, 2018
We study the semilinear elliptic ...
Ghergu Marius, Kim Sunghan, Shahgholian Henrik   +2 more
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Existence of a positive solution for nonlinear Schrödinger equations with general nonlinearity

Advances in Nonlinear Analysis, 2014
We study the following nonlinear Schrödinger equations: -Δu+V(x)u=f(u)inℝN.$ - \Delta u + V(x) u = f(u) \quad \text{in } {\mathbb {R}^N}. $ The purpose of this paper is to establish the existence of a positive solution under general conditions which are ...
Sato Yohei, Shibata Masataka
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Supercritical Hénon-type equation with a forcing term

Advances in Nonlinear Analysis
This article is concerned with the structure of solutions to the elliptic problem for a Hénon-type equation with a forcing term: −Δu=α(x)up+κμ,inRN,u>0,inRN,(Pκ)\hspace{11.3em}-\Delta u=\alpha \left(x){u}^{p}+\kappa \mu ,\hspace{1.0em}\hspace{0.1em}\text{
Ishige Kazuhiro, Katayama Sho
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The existence and multiplicity of L 2-normalized solutions to nonlinear Schrödinger equations with variable coefficients

Advanced Nonlinear Studies
The existence of L 2–normalized solutions is studied for the equation −Δu+μu=f(x,u)  inRN,∫RNu2dx=m. $-{\Delta}u+\mu u=f\left(x,u\right)\quad \quad \text{in} {\mathbf{R}}^{N},\quad {\int }_{{\mathbf{R}}^{N}}{u}^{2} \mathrm{d}x=m.$ Here m > 0 and f(x, s)
Ikoma Norihisa, Yamanobe Mizuki
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