Results 31 to 40 of about 36,100 (302)
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
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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
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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
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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
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Limit of p-Laplacian Obstacle problems
, 2020 In this paper we study asymptotic behavior of solutions of obstacle problems for $p-$Laplacians as $p\to \infty.$ For the one-dimensional case and for the radial case, we give an explicit expression of the limit.
Capitanelli, Raffaela +1 more
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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
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Eigenvalues for a nonlocal pseudo $p-$Laplacian [PDF]
Discrete and Continuous Dynamical Systems, 2016 In this paper we study the eigenvalue problems for a nonlocal operator of order $s$ that is analogous to the local pseudo $p-$Laplacian. We show that there is a sequence of eigenvalues $ _n \to \infty$ and that the first one is positive, simple, isolated and has a positive and bounded associated eigenfunction.
del Pezzo, Leandro Martin +1 more
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Eigenvalues and the One-Dimensional p-Laplacian
Journal of Mathematical Analysis and Applications, 2002 The authors are concerned with determining values of \(\lambda\), for which there exist positive solutions to the boundary value problem \[ (\phi_p(u'))'+ \lambda F(t,u)= 0\quad\text{in }(0,1),\quad u(0)= u(1)= 0,\tag{P} \] with \(\phi_p(s)=|s|^{p-2}s\) and \(p> 1\).
Agarwal, Ravi P. +2 more
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A strong comparison principle for the $p$-Laplacian [PDF]
Proceedings of the American Mathematical Society, 2007 We consider weak solutions of the differential inequality of p-Laplacian type - Δpu - f(u) ≤-Δpv - f(v) such that u p - 1.
ROSELLI, PAOLO, Sciunzi, B.
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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
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