Results 11 to 20 of about 31,354 (258)

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

open access: yesAbstract 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   +3 more sources

Sign-changing solutions for coupled Schrödinger system

open access: yesBoundary Value Problems
In this paper we study the following nonlinear Schrödinger system: { − Δ u + α u = | u | p − 1 u + 2 q + 1 λ | u | p − 3 2 u | v | q + 1 2 , x ∈ R 3 , − Δ v + β v = | v | q − 1 v + 2 p + 1 λ | u | p + 1 2 | v | q − 3 2 v , x ∈ R 3 , u ( x ) → 0 , v ( x )
Jing Zhang
doaj   +3 more sources

Nodal Solutions of the p-Laplacian with Sign-Changing Weight [PDF]

open access: yesAbstract 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
doaj   +4 more sources

Sign-Changing Solutions to Equations of Elliptic Type [PDF]

open access: yesInternational Journal of Differential Equations, 2010
1 Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China 2 Mathematisches Institut, University Giessen, Arndtstr. 2, 35392 Giessen, Germany 3 Graduate School of Environment and Information Science, Yokohama National University, Tokiwadai, Yokohama 240-8501, Japan 4 Mathematics Department, University of California, Irvine, CA ...
Wenming Zou   +4 more
doaj   +3 more sources

Sign-Changing Solutions for Nonlinear Elliptic Problems Depending on Parameters [PDF]

open access: yesInternational Journal of Differential Equations, 2010
The study of multiple solutions for quasilinear elliptic problems under Dirichlet or nonlinear Neumann type boundary conditions has received much attention over the last decades.
Siegfried Carl, Dumitru Motreanu
doaj   +4 more sources

Sign-changing solutions for critical equations with Hardy potential [PDF]

open access: yesAnalysis & PDE, 2021
41 pages, Updated version - if any - can be downloaded at http://www.birs.ca/~nassif/
Esposito P.   +3 more
openaire   +6 more sources

Sign changing solutions of Poisson's equation [PDF]

open access: yesProceedings of the London Mathematical Society, 2020
27 pages, 2 figures, various minor typos have been ...
Berg, M. van Den, Bucur, D.
openaire   +6 more sources

A Sign-Changing Solution for a Superlinear Dirichlet Problem

open access: yesRocky Mountain Journal of Mathematics, 1997
Summary: In Part I [Rocky Mt. J. Math. 27, No. 4, 1041--1053 (1997; Zbl 0907.35050)], 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 Dirichlet boundary condition.
Castro, Alfonso   +2 more
openaire   +4 more sources

On sign-changing and multiple solutions of the p-Laplacian

open access: yesJournal of Functional Analysis, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Zhitao, Li, Shujie
openaire   +2 more sources

Sign Changing Solutions for Quasilinear Superlinear Elliptic Problems [PDF]

open access: yesThe Quarterly Journal of Mathematics, 2016
Results on existence and multiplicity of solutions for a nonlinear elliptic problem driven by the $Φ$-Laplace operator are established. We employ minimization arguments on suitable Nehari manifolds to build a negative and a positive ground state solutions.
Silva, E. D.   +3 more
openaire   +2 more sources

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