Results 11 to 20 of about 5,473,308 (246)

Sign Changing Solutions for Coupled Critical Elliptic Equations

Journal of Function Spaces, 2020
In this paper, we consider the coupled elliptic system with a Sobolev critical exponent.
Xin Wang, Xiaorui Yue
doaj   +2 more sources

The Existence of Least Energy Sign-Changing Solution for Kirchhoff-Type Problem with Potential Vanishing at Infinity

Advances in Mathematical Physics, 2021
In this paper, we study the Kirchhoff-type equation: −a+b∫ℝ3  ∇u2dxΔu+Vxu=Qxfu,in ℝ3, where a, b>0, f∈C1ℝ3,ℝ, and V,Q∈C1ℝ3,ℝ+. Vx and Qx are vanishing at infinity.
Ting Xiao, Canlin Gan, Qiongfen Zhang
doaj   +2 more sources

A sign-changing solution for a superlinear Dirichlet problem, II [PDF]

Electronic Journal of Differential Equations, 2003
In previous work by Castro, Cossio, and Neuberger cite{ccn}, it was shown that a superlinear Dirichlet problem has at least three nontrivial solutions when the derivative of the nonlinearity at zero is less than the first eigenvalue of $-Delta$ with zero
Alfonso Castro, Pavel Drabek, John M. Neuberger   +2 more
doaj   +2 more sources

A sign-changing solution for nonlinear problems involving the fractional Laplacian

Electronic Journal of Differential Equations, 2015
In this article, we establish the existence of a least energy sign-changing solution for nonlinear problems involving the fractional Laplacian. Our main tool is constrained minimization in a closed subset containing all the sign-changing solutions of ...
Kaimin Teng, Kun Wang, Ruimeng Wang
doaj   +1 more source

Sign-changing and multiple solutions for the p-Laplacian [PDF]

Abstract and Applied Analysis, 2002
We obtain a positive solution, a negative solution, and a sign-changing solution for a class of p-Laplacian problems with jumping nonlinearities using variational and super-subsolution methods.
Siegfried Carl, Kanishka Perera
doaj   +2 more sources

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
doaj   +3 more sources

Sign-changing solution for logarithmic elliptic equations with critical exponent [PDF]

, 2023
In this paper, we consider the logarithmic elliptic equations with critical exponent \begin{equation} \begin{cases} -\Delta u=\lambda u+ |u|^{2^*-2}u+\theta u\log u^2, \\ u \in H_0^1(\Omega), \quad \Omega \subset \R^N.
Liu, Tianhao, Zou, Wenming
core   +1 more source

Sign Multilingualism

, 2020
This volume has arisen from a three-part, five-year study on language contact among multilingual sign language users, which has three strands: cross-signing, sign-switching, and sign-speaking. These phenomena are only sparsely documented so far, and thus

core   +1 more source

Nodal solution for critical Kirchhoff-type equation with fast increasing weight in R 2 $\mathbb{R}^{2}$

Journal of Inequalities and Applications, 2023
In this paper, we investigate the existence of a least-energy sign-changing solutions for the following Kirchhoff-type equation: − ( 1 + b ∫ R 2 K ( x ) | ∇ u | 2 d x ) div ( K ( x ) ∇ u ) = K ( x ) f ( u ) , x ∈ R 2 , $$ - \biggl(1+b \int _{\mathbb{R ...
Qin Qin, Guo Jie, Hongmin Suo
doaj   +1 more source

Variation in Indonesian Sign Language

, 2019
This pioneering work on Indonesian Sign Language (BISINDO) explores the linguistic and social factors that lie behind variation in the grammatical domains of negation and completion.
Palfreyman, Nick
core   +1 more source