Results 61 to 70 of about 5,742,609 (249)
Multiple solutions for a Schrödinger-Bopp-Podolsky system with positive potentials [PDF]
arXiv, 2020 In the paper we prove existence of solutions for a Schr\"odinger-Bopp-Podolsky system under positive potentials. We use the Ljusternick-Schnirelmann and Morse Theories to get multiple solutions with a priori given ``interaction energy''.
arxiv
Advanced Nonlinear Studies, 2019 This paper investigates the topological structure of the set of the positive solutions of the one-dimensional quasilinear indefinite Neumann ...
López-Gómez Julian, Omari Pierpaolo
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A positive solution to a conjecture of A. Katok for diffeomorphism case [PDF]
arXiv, 2008 In this paper, using Pesin theory and Liao theory, we give a positive solution to a conjecture of A. Katok.
arxiv
Singular solutions of fully nonlinear elliptic equations and applications [PDF]
, 2011 We study the properties of solutions of fully nonlinear, positively homogeneous elliptic equations near boundary points of Lipschitz domains at which the solution may be singular. We show that these equations have two positive solutions in each cone of $\mathbb{R}^n$, and the solutions are unique in an appropriate sense.
arxiv +1 more source
Evolution equations with eventually positive solutions [PDF]
arXiv, 2022 We discuss linear autonomous evolution equations on function spaces which have the property that a positive initial value leads to a solution which initially changes sign, but then becomes - and stays - positive again for sufficiently large times. This eventual positivity phenomenon has recently been discovered for various classes of differential ...
arxiv
Positive solutions for a nonlocal problem with singularity
Electronic Journal of Differential Equations, 2017 In this article we study a nonlocal problem involving singular nonlinearity. Based on the variational and perturbation methods, we obtain the existence of two positive solutions for this problem.
Chun-Yu Lei, Chang-Mu Chu, Hong-Min Suo
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Positive solutions for one-dimensional third-order p-Laplacian boundary value problems
Advances in Difference Equations, 2017 In this paper, we give improved results on the existence of positive solutions for the following one-dimensional p-Laplacian equation with nonlinear boundary conditions: { ( ϕ p ( y ″ ) ) ′ + b ( t ) g ( t , y ( t ) ) = 0 , 0 < t < 1 , λ 1 ϕ p ( y ( 0 ) )
Yan Sun
doaj +1 more source
Existence of multiple solutions to a class of nonlinear Schrödinger system with external sources terms [PDF]
arXiv, 2014 We study a class of nonlinear schr\"{o}dinger system with external sources terms as perturbations in order to obtain existence of multiple solutions, this system arises from Bose-Einstein condensates etc..As these external sources terms are positive functions and small in some sense, we use Nehari manifold to get the existence of a positive ground ...
arxiv
Threshold and strong threshold solutions of a semilinear parabolic equation [PDF]
arXiv, 2016 If $p>1+2/n$ then the equation $u_t-\Delta u = u^p, \quad x\in{\mathbb R}^n,\ t>0,$ possesses both positive global solutions and positive solutions which blow up in finite time. We study the large time behavior of radial positive solutions lying on the borderline between global existence and blow-up.
arxiv
Positive solutions for multipoint boundary-value problem with parameters
Electronic Journal of Differential Equations, 2008 In this paper, we study a generalized Sturm-Liouville boundary-value problems with two positive parameters. By constructing a completely continuous operator and combining fixed point index theorem and some properties of the eigenvalues of linear ...
Zhongli Wei, Juanjuan Xu
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