Results 41 to 50 of about 14,364 (164)

Nodal curves and Riccati solutions of Painlevé equations

Kyoto Journal of Mathematics, 2004
In this paper, we study Riccati solutions of Painlevé equations from a view point of geometry of Okamoto-Painlevé pairs $(S,Y)$. After establishing the correspondence between (rational) nodal curves on $S-Y$ and Riccati solutions, we give the complete classification of the configurations of nodal curves on $S-Y$ for each Okamoto-Painlevé pair $(S, Y)$.
Saito, Masa-Hiko, Terajima, Hitomi
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Bifurcation from intervals for Sturm-Liouville problems and its applications

Electronic Journal of Differential Equations, 2014
We study the unilateral global bifurcation for the nonlinear Sturm-Liouville problem $$\displaylines{ -(pu')'+qu=\lambda au+af(x,u,u',\lambda)+g(x,u,u',\lambda)\quad x\in(0,1),\cr b_0u(0)+c_0u'(0)=0,\quad b_1u(1)+c_1u'(1)=0, }$$ where $a\in C([0, 1]
Guowei Dai, Ruyun Ma
doaj  

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 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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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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On nodal ground states for Schrodinger systems

Electronic Journal of Differential Equations
In 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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On the number of nodal solutions in singular perturbation problems

Differential and Integral Equations, 2001
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