Results 51 to 60 of about 13,793 (165)

Localized nodal solutions for parameter-dependent quasilinear Schrodinger equations

Electronic Journal of Differential Equations, 2021
In this article, we apply a new variational perturbation method to study the existence of localized nodal solutions for parameter-dependent semiclassical quasilinear Schrodinger equations, under a certain parametric conditions.
Rui He, Xiangqing Liu
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Nodal Solutions of the p-Laplacian with Sign-Changing Weight

Abstract and Applied Analysis, 2013
We are concerned with determining values of , for which there exist nodal solutions of the boundary value problem , where is a sign-changing function, with . The proof of our main results is based upon global bifurcation techniques.
Ruyun Ma, Xilan Liu, Jia Xu
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On some spectral properties of third order nonlinear boundary value problems

Mathematical Modelling and Analysis, 2012
The present paper deals with a two point the third-order nonlinear boundary value problem. An estimation of the number of solutions to boundary value problem and their nodal structure are established.
Sergey Smirnov
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Existence and Asymptotic Profile of Nodal Solutions to Supercritical Problems

Advanced Nonlinear Studies, 2017
We establish the existence of nodal solutions to the supercritical ...
Clapp Mónica, Pacella Filomena
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Nodal sets for solutions of elliptic equations

Journal of Differential Geometry, 1989
On etudie, sur un domaine connexe Ω⊂R n , l'ensemble zero u −1 {0} d'une solution u d'une equation elliptique a ij D i D j u+b j D j u+cu=0 ou a ij , b j , c sont bornes et a ij est continu. On demontre que la mesure de Hausdorff a (n−1) dimensions de u − 1 {0} est finie dans un voisinage d'un point x 0 ∈Ω ou u a un ordre fini d ...
Hardt, Robert, Simon, Leon
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Nodal solutions for singular second-order boundary-value problems

Electronic Journal of Differential Equations, 2014
We use a global bifurcation theorem to prove the existence of nodal solutions to the singular second-order two-point boundary-value problem $$\displaylines{ -( pu') '(t)=f(t,u(t))\quad t\in ( \xi ,\eta) , \cr au(\xi )-b\lim_{t\to\xi} p(t)u'(t)=0 ...
Abdelhamid Benmezai, Wassila Esserhane, Johnny Henderson   +2 more
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Exact multiplicity of solutions for a class of two-point boundary value problems

Electronic Journal of Differential Equations, 2010
We consider the exact multiplicity of nodal solutions of the boundary value problem $$displaylines{ u''+lambda f(u)=0 , quad tin (0, 1),cr u'(0)=0,quad u(1)=0, }$$ where $lambda in mathbb{R}$ is a positive parameter. $fin C^1(mathbb{R}, mathbb{R})$
Yulian An, Ruyun Ma
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Nodal solutions for Neumann systems with gradient dependence

Boundary Value Problems
We consider the following convective Neumann systems: ( S ) { − Δ p 1 u 1 + | ∇ u 1 | p 1 u 1 + δ 1 = f 1 ( x , u 1 , u 2 , ∇ u 1 , ∇ u 2 ) in  Ω , − Δ p 2 u 2 + | ∇ u 2 | p 2 u 2 + δ 2 = f 2 ( x , u 1 , u 2 , ∇ u 1 , ∇ u 2 ) in  Ω , | ∇ u 1 | p 1 − 2 ...
Kamel Saoudi, Eadah Alzahrani, Dušan D. Repovš   +2 more
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Localized nodal solutions for semiclassical nonlinear Kirchhoff equations

Electronic Journal of Differential Equations, 2022
Lixia Wang
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Criteria and estimates for decaying oscillatory solutions for some second-order quasilinear ODEs

Electronic Journal of Differential Equations, 2017
Oscillation criteria for the solutions of quasilinear second order ODE are revisited. In our early works [6,7], we obtained basic oscillation criteria for $$ \big\{ \phi_\alpha(u'(t))\big\}' + \alpha c(t) \phi_\beta(u(t)) =0 $$ by estimating of ...
Tadie
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