Results 31 to 40 of about 35,592 (307)
Existence of Nontrivial Solutions for p-Laplacian Equations in {R}^{N} [PDF]
, 2010 In this paper, we consider a p-Laplacian equation in {R}^{N}with sign-changing potential and subcritical p-superlinear nonlinearity. By using the cohomological linking method for cones developed by Degiovanni and Lancelotti in 2007, an existence result ...
Liu, Chungen, Zheng, Youquan
core +2 more sources
Oscillatory Property of Solutions for p(t)-Laplacian Equations
Journal of Inequalities and Applications, 2007 We consider the oscillatory property of the following p(t)-Laplacian equations −(|u'|p(t)−2u')'=1/tθ(t)g(t,u), t>0. Since there is no Picone-type identity for p(t)- Laplacian equations, it is an unsolved problem that whether the Sturmian ...
Qihu Zhang
doaj +1 more source
Resonance Problems for the p-Laplacian
Journal of Functional Analysis, 1999 AbstractWe consider resonance problems at an arbitrary eigenvalue of the p-Laplacian, and prove the existence of weak solutions assuming a standard Landesman–Lazer condition. We use variational arguments to characterize certain eigenvalues and then to establish the solvability of the given boundary value problem.
Stephen B. Robinson, Pavel Drábek
openaire +2 more sources
The one-phase bifurcation for the p-Laplacian [PDF]
Journal of Differential Equations, 2019 A bifurcation about the uniqueness of a solution of a singularly perturbed free boundary problem of phase transition associated with the p-Laplacian, subject to given boundary condition is proved in this paper. We show this phenomenon by proving the existence of a third solution through the Mountain Pass Lemma when the boundary data decreases below a ...
Alaa Akram Haj Ali, Peiyong Wang
openaire +3 more sources
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 Soap Bubble Theorem and a $p$-Laplacian overdetermined problem [PDF]
, 2019 We consider the $p$-Laplacian equation $-\Delta_p u=1$ for ...
Colasuonno, Francesca, Ferrari, Fausto
core +2 more sources
A problem involving the p-Laplacian operator [PDF]
Differential Equations & Applications, 2017 Using a variational technique we guarantee the existence of a solution to the \emph{resonant Lane-Emden} problem $- _p u= |u|^{q-2}u$, $u|_{\partial }=0$ if and only if a solution to $- _p u= |u|^{q-2}u+f$, $u|_{\partial }=0$, $f\in L^{p'}( )$ ($p'$ being the conjugate of $p$), exists for $q\in (1,p)\bigcup (p,p^{*})$ under a certain condition ...
Ratan Kr. Giri, Debajyoti Choudhuri
openaire +3 more sources
Eigenvalues and the One-Dimensional p-Laplacian
Journal of Mathematical Analysis and Applications, 2002 AbstractWe consider the boundary value problem (ϕp(u′))′+λF(t,u)=0, with p>1, t∈(0,1), u(0)=u(1)=0, and with λ>0. The value of λ is chosen so that the boundary value problem has a positive solution. In addition, we derive an explicit interval for λ such that, for any λ in this interval, the existence of a positive solution to the boundary value problem
Agarwal, Ravi P. +2 more
openaire +3 more sources
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
The Insulated Conductivity Problem with p-Laplacian
Archive for Rational Mechanics and Analysis, 2023 39 pages.
Hongjie Dong, Zhuolun Yang, Hanye Zhu
openaire +2 more sources