Results 11 to 20 of about 77,616 (312)

Existence of infinitely many radial and non-radial solutions for quasilinear Schrödinger equations with general nonlinearity [PDF]

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2017
In this paper, we prove the existence of many solutions for the following quasilinear Schrödinger equation \begin{equation*} -\Delta u - u\Delta(|u|^2) + V(|x|)u = f(|x|,u),\qquad x \in \mathbb{R}^N. \end{equation*} Under some generalized assumptions on $
Jianhua Chen   +3 more
doaj   +2 more sources

Computation of radial solutions of semilinear equations [PDF]

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2007
We express radial solutions of semilinear elliptic equations on $R^n$ as convergent power series in $r$, and then use Pade approximants to compute both ground state solutions, and solutions to Dirichlet problem.
Philip Korman
doaj   +2 more sources

On positive radial solutions for a class of elliptic equations. [PDF]

open access: yesScientificWorldJournal, 2014
A class of elliptic boundary value problem in an exterior domain is considered under some conditions concerning the first eigenvalue of the relevant linear operator, where the variables of nonlinear termfs,uneed not to be separated. Several new theorems on the existence and multiplicity of positive radial solutions are obtained by means of fixed point ...
Wu Y, Han G.
europepmc   +5 more sources

Radially Symmetric Solutions of [PDF]

open access: yesInternational Journal of Differential Equations, 2012
We investigate solutions of and focus on the regime and . Our advance is to develop a technique to efficiently classify the behavior of solutions on , their maximal positive interval of existence. Our approach is to transform the nonautonomous equation into an autonomous ODE.
Troy, William C., Krisner, Edward P.
openaire   +2 more sources

A minimal solution to the autocalibration of radial distortion [PDF]

open access: yes2007 IEEE Conference on Computer Vision and Pattern Recognition, 2007
Epipolar geometry and relative camera pose computation are examples of tasks which can be formulated as minimal problems and solved from a minimal number of image points. Finding the solution leads to solving systems of algebraic equations. Often, these systems are not trivial and therefore special algorithms have to be designed to achieve numerical ...
Zuzana Kukelova, Tomás Pajdla
openaire   +1 more source

On Radial Solutions of the Schrödinger Type Equation

open access: yesAdvanced Nonlinear Studies, 2011
Abstract We establish compact embeddings of the radial Sobolev space H rad 1,p (ℝ N ) into weighted Lebesgue spaces L q w (ℝ N
Chabrowski, Jan H., Grotowski, Joseph F.
openaire   +3 more sources

Uniqueness of Radial Solutions for the Fractional Laplacian [PDF]

open access: yesCommunications on Pure and Applied Mathematics, 2015
AbstractWe prove general uniqueness results for radial solutions of linear and nonlinear equations involving the fractional Laplacian (−Δ)s with s ∊ (0,1) for any space dimensions N ≥ 1. By extending a monotonicity formula found by Cabré and Sire , we show that the linear equation urn:x-wiley:00103640:media:cpa21591:cpa21591-math-0001 has at most one
Frank, Rupert L.   +2 more
openaire   +5 more sources

Analysis of laminated shells by a sinusoidalshear deformation theory and Radial Basis Functions collocation, accounting for through-the-thickness deformations [PDF]

open access: yes, 2011
In this paper, the static and free vibration analysis of laminated shells is performed by radial basis functions collocation, according to a sinusoidal shear deformation theory (SSDT).
Polit, O.   +17 more
core   +1 more source

Glueballs—a radial solution?

open access: yesPhysics Letters B, 1983
Abstract We analyze the mass spectrum and radiative decays of the low lying pseudoscalar and vector mesons in a nonrelativistic model. We investigate the mixing of the gluonium candidate ι(1440) with the J PC = 0 −+ quarkonium candidates. The light quark content of these states as well as implications of the mixing is discussed.
Mariana Frank, Patrick J. O'Donnell
openaire   +1 more source

Radially Symmetric Solutions of a Nonlinear Elliptic Equation [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
We investigate the existence and asymptotic behavior of positive, radially symmetric singular solutions of w′′ + ((N − 1)/r)w′−|w|p−1w = 0, r > 0. We focus on the parameter regime N > 2 and 1 < p < N/(N − 2) where the equation has the closed form, positive singular solution w1 = (4 − 2(N − 2)(p − 1)/(p − 1) 2) 1/(p−1)r−2/(p−1), r > 0 ...
Edward P. Krisner, William C. Troy
openaire   +3 more sources

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