Results 41 to 50 of about 13,793 (165)
Bifurcation from infinity and nodal solutions of quasilinear elliptic differential equations
Electronic Journal of Differential Equations, 2014 In this article, we establish a unilateral global bifurcation theorem from infinity for a class of $N$-dimensional p-Laplacian problems. As an application, we study the global behavior of the components of nodal solutions of the problem ...
Bian-Xia Yang
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Uniqueness Theorem for the Inverse Aftereffect Problem and Representation the Nodal Points Form
Journal of Mathematical Extension, 2015 In this paper, we consider a boundary value problem with aftereffect on a finite interval. Then, the asymptotic behavior of the solutions, eigenvalues, the nodal points and the associated nodal length are studied.
A. Neamaty, Sh. Akbarpoor, A. Dabbaghian
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The nodal set of solutions to anomalous equations
Bruno Pini Mathematical Analysis Seminar, 2019 This note focuses on the geometric-theoretic analysis of the nodal set of solutions to specific degenerate or singular equations. As they belong to the Muckenhoupt class A_2, these operators appear in the seminal works of Fabes, Kenig, Jerison and ...
Giorgio Tortone
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Nodal solutions for nonlinear nonhomogeneous Robin problems
Rendiconti Lincei, Matematica e Applicazioni, 2018 We consider a nonlinear Robin problem driven by a nonhomogeneous differential operator plus an indefinite potential. The reaction term is a Carathéodory function satisfying certain conditions only near zero. Using suitable truncation, comparison and cut-off techniques, we show that the problem has a sequence of nodal solutions ...
Nikolaos S. Papageorgiou +2 more
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On the number of nodal solutions for a nonlinear elliptic problem on symmetric Riemannian manifolds
Electronic Journal of Differential Equations, 2010 We consider the problem $$ -varepsilon^2Delta_g u+u=|u|^{p-2}u $$ in a symmetric Riemannian manifold $(M,g)$. We give a multiplicity result for antisymmetric changing sign solutions.
Marco Ghimenti, Anna Maria Micheletti
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Solutions nodales sur les variétés Riemanniennes
Journal of Functional Analysis, 1999 RésuméNodal solutions of nonlinear PDE with critical growth are obtained on com- pact manifolds. The variational method and bifurcations theory are used to con- struct a branch of nodal solutions. Consequences for other PDE are suggested.
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Nodal solutions for singular semilinear elliptic systems
Filomat, 2023 In this paper, we prove existence of nodal solutions for singular semilinear elliptic systems without variational structure where its both components are of sign changing. Our approach is based on sub-supersolutions method combined with perturbation arguments involving singular terms.
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On nodal ground states for Schrodinger systems
Electronic Journal of Differential EquationsIn this article we characterize the least energy nodal and semi-nodal solutions to some Schrodinger system as the minimum on constrained Nehari sets of codimension 4 and 3, respectively; thus allowing to compute their Morse index and the exact number ...
Anna Lisa Amadori
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A note on nodal non-radially symmetric solutions to Emden-Fowler equations
Electronic Journal of Differential Equations, 2009 We prove the existence of an unbounded sequence of sign-changing and non-radially symmetric solutions to the problem $-Delta u = |u|^{p-1}u$ in $Omega$, $u = 0$ on $partialOmega$, $u(gx)= u(x$), $ xin Omega$, $gin G$, where $Omega$ is an annulus of ...
Miguel Ramos, Wenming Zou
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Nodal solutions for a zero-mass Chern-Simons-Schrödinger equation
Advances in Nonlinear AnalysisThis study deals with the existence of nodal solutions for the following gauged nonlinear Schrödinger equation with zero mass: −Δu+hu2(∣x∣)∣x∣2+∫∣x∣+∞hu(s)su2(s)dsu=∣u∣p−2u,x∈R2,-\Delta u+\left(\frac{{h}_{u}^{2}\left(| x| )}{{| x| }^{2}}+\underset{| x| }{
Deng Yinbin, Liu Chenchen, Yang Xian
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