Results 41 to 50 of about 19,228,694 (296)
Weak solutions for p-Laplacian equation
Advances in Nonlinear Analysis, 2012 In this work we consider the p-Laplacian type parabolic equation with Dirichlet boundary condition and establish the existence of weak solutions using Leray–Schauder's fixed point theorem and semi-discretization process.
Bhuvaneswari Venkatasubramaniam +2 more
doaj +1 more source
Oscillation Theorems for Advanced Differential Equations with p-Laplacian Like Operators
, 2020 The main objective of this paper is to establish new oscillation results of solutions to a class of even-order advanced differential equations with a p-Laplacian like operator.
O. Bazighifan, Poom Kumam
semanticscholar +1 more source
The spectrum of the periodic p-Laplacian
Journal of Differential Equations, 2007 AbstractWe consider one-dimensional p-Laplacian eigenvalue problems of the form−Δpu=(λ−q)|u|p−1sgnu,on(0,b), together with periodic or separated boundary conditions, where p>1, Δp is the p-Laplacian, q∈C1[0,b], and b>0, λ∈R.It will be shown that when p≠2, the structure of the spectrum in the general periodic case (that is, with q≠0 and periodic ...
Paul Binding, Bryan P. Rynne
openaire +2 more sources
The second eigenvalue of the fractional p-Laplacian [PDF]
Advances in Calculus of Variations, 2016 AbstractWe consider the eigenvalue problem for the fractional p-Laplacian in an open bounded, possibly disconnected set ${\Omega\subset\mathbb{R}^{n}}$, under homogeneous Dirichlet boundary conditions. After discussing some regularity issues for eigenfunctions, we show that the second eigenvalue ${\lambda_{2}(\Omega)}$ is well-defined, and we ...
BRASCO, Lorenzo, Parini, Enea
openaire +6 more sources
On the existence of ground state solutions to critical growth problems nonresonant at zero
Comptes Rendus. Mathématique, 2021 We prove the existence of ground state solutions to critical growth $p$-Laplacian and fractional $p$-Laplacian problems that are nonresonant at zero.
Perera, Kanishka
doaj +1 more source
A p-Laplacian supercritical Neumann problem
, 2016 For $p>2$, we consider the quasilinear equation $-\Delta_p u+|u|^{p-2}u=g(u)$ in the unit ball $B$ of $\mathbb R^N$, with homogeneous Neumann boundary conditions.
Colasuonno, Francesca, Noris, Benedetta
core +1 more source
Advances in Nonlinear Analysis, 2020 In this paper, we study the fractional p-Laplacian evolution equation with arbitrary initial energy, ut(x,t)+(−Δ)psu(x,t)=f(u(x,t)),x∈Ω,t>0, $$\begin{array}{} \displaystyle u_t(x,t) + (-{\it\Delta})_p^s u(x,t) = f(u(x,t)), \quad x\in {\it\Omega}, \,t \gt
Menglan Liao, Qiang Liu, Hailong Ye
semanticscholar +1 more source
On the uniqueness of eigenfunctions for the vectorial p-Laplacian
Archiv der Mathematik, 2023 AbstractWe study a nonlinear eigenvalue problem for vector-valued eigenfunctions and give a succinct uniqueness proof for minimizers of the associated Rayleigh quotient.
Ryan Hynd, Bernd Kawohl, Peter Lindqvist
openaire +2 more sources
On Lyapunov-type inequalities for ( p , q ) $(p,q)$ -Laplacian systems
Journal of Inequalities and Applications, 2017 We establish Lyapunov-type inequalities for a system involving one-dimensional ( p i , q i ) $(p_{i},q_{i})$ -Laplacian operators ( i = 1 , 2 $i=1,2$ ).
Mohamed Jleli, Bessem Samet
doaj +1 more source
Mathematics, 2020 In this paper, using the Avery–Henderson fixed point theorem and the monotone iterative technique, we investigate the existence of positive solutions for a class of p-Laplacian Hadamard fractional-order three-point boundary value problems.
Jiafa Xu, Jiqiang Jiang, D. O’Regan
semanticscholar +1 more source