Results 61 to 70 of about 9,155,817 (192)
Fractional Schrödinger-Poisson systems with indefinite potentials
, 2021 This paper is devoted to the following fractional Schrödinger-Poisson systems: \begin{equation*} \left\{\aligned &(-\Delta)^{s} u+V(x)u+\phi(x)u= f(x,u) \,\,\,&\text{in } \mathbb{R}^3, \\ & (-\Delta)^{t} \phi(x)=u^2 \,\,\,&\text{in } \mathbb{R}^3, \endaligned \right. \end{equation*} where $(-\Delta)^{s}$ is the fractional Lapalcian, $s,
Jun Wang, li wang, Qiao Zhong
openaire +1 more source
Positive and Nodal Solutions For a Nonlinear Schrödinger Equation with Indefinite Potential [PDF]
Advanced Nonlinear Studies, 2008 Abstract We deal with the nonlinear Schrödinger equation -Δu + V(x)u = f(u) in ℝ N , where V is a (possible) sign changing potential satisfying mild assumptions and the nonlinearity f ∈ C
Furtado, Marcelo F. +2 more
openaire +1 more source
, 2017 This chapter examines the typology of negative indefinite pronouns, with particular emphasis on their relation with other indefinites. It first considers the received taxonomy of negated indefinites, showing that it is inadequate and that the ...
Martin Haspelmath
core +1 more source
Multiple solutions with sign information for Robin equations with indefinite potential
Bulletin of Mathematical SciencesIn this paper, we study a Robin boundary value problem driven by the Laplace operator plus an indefinite potential term. The reaction is of the logistic type.
Nikolaos S. Papageorgiou +2 more
doaj +1 more source
Exponential stability of wave equations with potential and indefinite damping
Journal of Differential Equations, 2007 The paper concentrates on the exponential stability of the linear \[ u_{tt} - u_{xx} +a(t)u_t +b(x)u =0 \] and nonlinear \[ u_{tt} -f(u_x)x +a(x)u_t + b(x)u =0 \] wave equations, the solution satisfying initial and Dirichlet boundary conditions on a bounded interval \((0,L)\).
openaire +3 more sources
Multiplicity of solutions for Neumann problems with an indefinite and unbounded potential
, 2013 We consider a semilinear Neumann problem driven by the negative Laplacian plus an indefinite and unbounded potential and with a Carathéodory reaction term. Using variational methods based on the critical point theory, combined with Morse theory (critical
Papageorgiou, Nikolaos S. +1 more
core +1 more source
On the Schrödinger-Poisson system with steep potential well and indefinite potential
, 2014 17 ...
Sun, Juntao, Wu, Tsung-fang, Wu, Yuanze
openaire +2 more sources
The Indefinite within Descartes Mathematical Physics [PDF]
, 2013 Descartes philosophy contains an intriguing notion of the infinite, a concept labeled by the philosopher as indefinite. Even though Descartes clearly defined this term on several occasions in the correspondence with his contemporaries, as well as in his ...
Monnoyeur-Broitman, Françoise +2 more
core +1 more source
Existence of Multiple Nontrivial Solutions for a Strongly Indefinite Schrödinger-Poisson System
Abstract and Applied Analysis, 2014 We consider a Schrödinger-Poisson system in ℝ3 with a strongly indefinite potential and a general nonlinearity. Its variational functional does not satisfy the global linking geometry.
Shaowei Chen, Liqin Xiao
doaj +1 more source
Resonant semilinear Robin problems with a general potential
Electronic Journal of Qualitative Theory of Differential Equations, 2017 We consider a semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential. The reaction term is a Carath\'eodory function which is resonant with respect to any nonprincipal eigenvalue both at $\pm \infty$ and 0.
Nikolaos Papageorgiou +2 more
doaj +1 more source