Results 71 to 80 of about 13,879,845 (281)
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
Positive Solution for the Nonlinear Hadamard Type Fractional Differential Equation with -Laplacian
, 2013 We study the following nonlinear fractional differential equation involving the -Laplacian operator , , , , where the continuous function , , . denotes the standard Hadamard fractional derivative of the order , the constant , and the -Laplacian operator .
Ya-ling Li, Shi-you Lin
semanticscholar +1 more source
Multiplicity of positive solutions for a critical quasilinear Neumann problem [PDF]
arXiv, 2016 We establish the multiplicity of positive solutions to a quasilinear Neumann problem in expanding balls and hemispheres with critical exponent in the boundary condition.
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
doaj
Global dynamic behaviors for a delayed Nicholson's blowflies model with a linear harvesting term
Electronic Journal of Qualitative Theory of Differential Equations, 2013 In this paper, we study a generalized Nicholson's blowflies model with a linear harvesting term, which is defined on the positive function space. Under proper conditions, we employ a novel proof to establish some criteria for the global dynamic ...
Bingwen Liu
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
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this work, we investigate the existence and multiplicity results for positive solutions to a singular $(p_1,p_2)$-Laplacian system with coupled integral boundary conditions and a parameter $(\mu,\lambda) \in \mathbb{R}_+^3 $. Using sub-super solutions
Jeongmi Jeong +2 more
doaj +1 more source
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