Results 101 to 110 of about 18,879 (188)

(p,q)-Laplacian elliptic systems at resonance

Electronic 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
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Fundamental solutions to the p-Laplace equation in a class of Grushin vector fields

Electronic Journal of Differential Equations, 2011
We find the fundamental solution to the p-Laplace equation in a class of Grushin-type spaces. The singularity occurs at the sub-Riemannian points, which naturally corresponds to finding the fundamental solution of a generalized Grushin operator in ...
Thomas Bieske
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Optimization in problems involving the p-Laplacian

Electronic Journal of Differential Equations, 2010
We minimize the energy integral $int_Omega | abla u|^p,dx$, where $g$ is a bounded positive function that varies in a class of rearrangements, $p>1$, and $u$ is a solution of $$displaylines{ -Delta_p u=g quadhbox{in } Omegacr u=0quad hbox{on ...
Monica Marras
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The uniqueness of a nonlinear diffusion equation related to the p-Laplacian. [PDF]

J Inequal Appl, 2018
Zhan H.
europepmc   +1 more source

Existence, multiplicity and asymptotic behavior of positive solutions to (p,q)-Laplacian elliptic systems

Electronic Journal of Differential Equations
In this article, we study elliptic systems consisting of $p$-Laplacian equations and $q$-Laplacian equations (for short $(p,q)$-Laplacian elliptic system).
Xiankui Meng, Meiqiang Feng
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Solving p-Laplacian equations on complete manifolds

Electronic Journal of Differential Equations, 2006
Using a reduced version of the sub and super-solutions method, we prove that the equation $Delta _{p}u+ku^{p-1}-Ku^{p^{ast }-1}=0$ has a positive solution on a complete Riemannian manifold for appropriate functions $k,K:Mo mathbb{R}$.
Mohammed Benalili, Youssef Maliki
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On the evolutionary p-Laplacian equation with a partial boundary value condition. [PDF]

J Inequal Appl, 2018
Zhan H.
europepmc   +1 more source

Complete quenching phenomenon for a parabolic p-Laplacian equation with a weighted absorption. [PDF]

J Inequal Appl, 2018
Zhu L.
europepmc   +1 more source

Remark on the Cauchy problem for the evolution p-Laplacian equation. [PDF]

J Inequal Appl, 2017
Wang L, Yin J, Cao J.
europepmc   +1 more source

Minimax principles for critical-point theory in applications to quasilinear boundary-value problems

Electronic Journal of Differential Equations, 2000
Using the variational method developed by the same author in [7], we establish the existence of solutions to the equation $-Delta_p u = f(x,u)$ with Dirichlet boundary conditions.
A. R. El Amrouss, M. Moussaoui
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