Positive solutions of singular four-point boundary value problem with $p$-Laplacian [PDF]
, 2009 In this paper, we deal with the following singular four-point boundary value problem with $p$-Laplacian $$ \left\{\begin{aligned} &(\phi_{p}(u'(t)))'+q(t)f(t,u(t))=0,\ t\in(0,1),\\ &u(0)-\alpha u'(\xi)=0,\ u(1)+\beta u'(\eta)=0, \end{aligned}\right ...
Ge, Weigao, Miao, Chunmei, Pang, Huihui
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Existence results for a fourth order partial differential equation arising in condensed matter physics [PDF]
, 2015 We study a higher order parabolic partial differential equation that arises in the context of condensed matter physics. It is a fourth order semilinear equation whose nonlinearity is the determinant of the Hessian matrix of the solution. We consider this
Escudero, Carlos +4 more
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Positive Solution of Singular BVPs for System of Dynamic Equations on Time Scales [PDF]
, 2012 This paper is devoted to derive some necessary and suficient conditions for the existence of positive solutions to a singular second order system of dynamic equations with Dirichlet boundary conditions.
Lago, Ariadna +2 more
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A Counterexample for Singular Equations with Indefinite Weight
Advanced Nonlinear Studies, 2017 We construct a second-order equation x¨=h(t)/xp{\ddot{x}=h(t)/x^{p}}, with p>1{p>1} and the sign-changing, periodic weight function h having negative mean, which does not have periodic solutions.
Ureña Antonio J.
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Infinitely Many Radial Solutions for a Sub-Super Critical Dirichlet Boundary Value Problem in a Ball [PDF]
, 2007 We prove the existence of infinitely many solutions to a semilinear Dirichlet boundary value problem in a ball for a nonlinearity g(u) that grows subcritically for u positive and supercritically for u ...
Castro, Alfonso +2 more
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Advanced Nonlinear Studies, 2019 Efficient conditions guaranteeing the existence and multiplicity of T-periodic solutions to the second order differential equation u′′=h(t)g(u){u^{\prime\prime}=h(t)g(u)} are established.
Hakl Robert, Zamora Manuel
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Existence of solutions for singular fully nonlinear equations [PDF]
, 2011 In this note we describe how to approximate some classes of singular equations by nonsingular equations. We obtain a solution to each nonsingular problem and estimates guaranteeing that the limiting function is a solution of the original ...
Montenegro, Marcelo
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Higher-order impulsive coupled systems with ϕ-Laplacian and generalized jump conditions
Demonstratio MathematicaThis work contains a general theory for coupled systems, with regular and singular semi-linear fully differential equations of higher order, with the possibility of equations of different order and generalized impulsive effects, depending on both ...
Minhós Feliz, Rodrigues Gracino
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Positive solutions of a singular fractional boundary value problem with a fractional boundary condition [PDF]
, 2017 For \(\alpha\in(1,2]\), the singular fractional boundary value problem \[D^{\alpha}_{0^+}x+f\left(t,x,D^{\mu}_{0^+}x\right)=0,\quad 0\lt t\lt 1,\] satisfying the boundary conditions \(x(0)=D^{\beta}_{0^+}x(1)=0\), where \(\beta\in(0,\alpha-1]\), \(\mu\in(
Lyons, Jeffrey W. +1 more
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Regularizing effect of absorption terms in singular problems
, 2018 We prove existence of solutions to problems whose model is $$\begin{cases} \displaystyle -\Delta_p u + u^q = \frac{f}{u^\gamma} & \text{in}\ \Omega, \newline u\ge0 &\text{in}\ \Omega,\newline u=0 &\text{on}\ \partial\Omega, \end{cases ...
Oliva, Francescantonio
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