Results 11 to 20 of about 974,223 (314)
Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions [PDF]
, 2008 We establish new existence results for multiple positive solutions of fourth-order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many non ...
J. R. L. Webb +5 more
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Twin positive solutions for singular nonlinear elliptic equations [PDF]
, 2010 For a bounded domain $Z\subseteq{\mathbb{R}}^N$ with a $C^2$-boundary, we prove the existence of an ordered pair of smooth positive strong solutions for the nonlinear Dirichlet problem $$ -\Delta_p x(z) = \beta(z)x(z)^{-\eta}+f(z,x(z)) \quad \text{a.e on
Rocha, EM +5 more
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Multiple boundary peak solutions for some singularly perturbed Neumann problems [PDF]
, 2000 We consider the problem \left \{ \begin{array}{rcl} \varepsilon^2 \Delta u - u + f(u) = 0 & \mbox{ in }& \ \Omega\\ u > 0 \ \mbox{ in} \ \Omega, \ \frac{\partial u}{\partial \nu} = 0 & \mbox{ on }& \ \partial\Omega, \end{array} \right. where \
Gui, Changfeng +8 more
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A POSITIVE SOLUTION FOR A NONLOCAL SCHRÖDINGER EQUATION [PDF]
Bulletin of the Australian Mathematical Society, 2014 AbstractWe provide an existence result of radially symmetric, positive, classical solutions for a nonlinear Schrödinger equation driven by the infinitesimal generator of a rotationally invariant Lévy process.
Zhang, Yongchao, Zhu, Gaosheng
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Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we look for solutions to the following critical Schrödinger system $$\begin{cases} -\Delta u+(V_1+\lambda_1)u=|u|^{2^*-2}u+|u|^{p_1-2}u+\beta r_1|u|^{r_1-2}u|v|^{r_2}&{\rm in}\ \mathbb{R}^N,\\ -\Delta v+(V_2+\lambda_2)v=|v|^{2^*-2}v+|v ...
Lei Long, Xiaojing Feng
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Solutions for the Cahn-Hilliard Equation With Many Boundary Spike Layers [PDF]
, 2001 In this paper we construct new classes of stationary solutions for the Cahn-Hilliard equation by a novel approach. One of the results is as follows: Given a positive integer K and a (not necessarily nondegenerate) local minimum point of the mean
Winter, M, Wei, J
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Positive solutions for parametric (p(z),q(z))-equations
Open Mathematics, 2020 We consider a parametric elliptic equation driven by the anisotropic (p,q)(p,q)-Laplacian. The reaction is superlinear. We prove a “bifurcation-type” theorem describing the change in the set of positive solutions as the parameter λ\lambda moves in ℝ+=(0,
Gasiński Leszek +2 more
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LARGE SOLUTIONS FOR YAMABE AND SIMILAR PROBLEMS ON DOMAINS IN RIEMANNIAN MANIFOLDS [PDF]
, 2011 We present a unified approach to study large positive solutions (i.e., u(x) -> infinity as x -> partial derivative Omega) of the equation Delta u + hu - k psi(u) = -f in an arbitrary domain Omega.
Martin Dindoš, Dindos, Martin; id_orcid
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Unique positive solution for an alternative discrete Painlevé I equation [PDF]
, 2016 We show that the alternative discrete Painleve I equation has a unique solution which remains positive for all n >0. Furthermore, we identify this positive solution in terms of a special solution of the second Painleve equation involving the Airy ...
Clarkson, Peter +4 more
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On the positive solutions of the Matukuma equation [PDF]
Duke Mathematical Journal, 1993 The author proves that for \(1< p0\). This completes the results obtained before by \textit{Y. Li} and \textit{W.-M. Ni} [Arch. Ration. Mech. Anal. 108, No. 2, 175-194 (1989; Zbl 0705.35039); ibid. 118, No. 3, 223-243 (1992; Zbl 0764.35014)].
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