Results 1 to 10 of about 18,159 (241)

Multiplicity theorems for semipositone p-Laplacian problems

open access: yesElectronic Journal of Differential Equations, 2011
In this article, we study the existence of solutions for the semipositone p-Laplacian problems. Under a subliner behavior at infinity, using degree theoretic arguments based on the degree map for operators of type (S)_+, we prove the existence of at ...
Xudong Shang
doaj  

Blow-up for p-Laplacian parabolic equations

open access: yesElectronic Journal of Differential Equations, 2003
In this article we give a complete picture of the blow-up criteria for weak solutions of the Dirichlet problem $$ u_t= abla(| abla u|^{p-2} abla u)+lambda |u|^{q-2}u,quad hbox{in } Omega_T, $$ where $p>1$.
Yuxiang Li, Chunhong Xie
doaj  

Steklov problems involving the p(x)-Laplacian

open access: yesElectronic Journal of Differential Equations, 2014
Under suitable assumptions on the potential of the nonlinearity, we study the existence and multiplicity of solutions for a Steklov problem involving the p(x)-Laplacian. Our approach is based on variational methods.
Ghasem A. Afrouzi   +2 more
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(p,q)-Laplacian elliptic systems at resonance

open access: yesElectronic Journal of Differential Equations, 2016
We show the existence of weak solutions for a class of (p,q)-Laplacian elliptic systems at resonance, under certain Landesman-Lazer-type conditions by using critical point theorem.
Zeng-Qi Ou
doaj  

Maximum and anti-maximum principles for the p-Laplacian with a nonlinear boundary condition

open access: yesElectronic Journal of Differential Equations, 2006
In this paper we study the maximum and the anti-maximum principles for the problem $Delta _{p}u=|u|^{p-2}u$ in the bounded smooth domain $Omega subset mathbb{R}^{N}$, with $|abla u|^{p-2}frac{partial u}{partial u }=lambda |u|^{p-2}u+h$ as a non linear ...
Aomar Anane, Omar Chakrone, Najat Moradi
doaj  

Positive solutions for singular nonlinear beam equation

open access: yesElectronic Journal of Differential Equations, 2007
In this paper, we study the existence of solutions for the singular p-Laplacian equation $$displaylines{ ig(|u''|^{p-2}u''ig)''-f(t,u)=0,quad tin (0,1) cr u(0)=u(1)=0, cr u''(0)=u''(1)=0, }$$ where $f(t,u)$ is singular at $t=0,1$ and at $u=0$.
Ruhao Song, Haishen Lu
doaj  

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