Results 1 to 10 of about 5,077 (166)
A Picone identity for variable exponent operators and applications [PDF]
Advances in Nonlinear Analysis, 2019 In this work, we establish a new Picone identity for anisotropic quasilinear operators, such as the p(x)-Laplacian defined as div(|∇ u|p(x)−2 ∇ u).
Arora Rakesh +2 more
doaj +6 more sources
Anisotropic Picone identities and anisotropic Hardy inequalities [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we derive an anisotropic Picone identity for the anisotropic Laplacian, which contains some known Picone identities. As applications, a Sturmian comparison principle to the anisotropic elliptic equation and an anisotropic Hardy type ...
Tingfu Feng, Xuewei Cui
doaj +3 more sources
Sturm-Picone Comparison Theorem of Second-Order Linear Equations on Time Scales
Advances in Difference Equations, 2009 This paper studies Sturm-Picone comparison theorem of second-order linear equations on time scales. We first establish Picone identity on time scales and obtain our main result by using it.
Shurong Sun, Chao Zhang
doaj +4 more sources
Picone-type identity and comparison results for a class of partial differential equations of order 4m [PDF]
Opuscula Mathematica, 2013 In the paper, a Picone-type identity for the weighted \(p\)-polyharmonic operator is established and comparison theorems and other qualitative results for a class of half-linear partial differential equations of the \(4m\)th order based on this identity ...
Jaroslav Jaroš
doaj +1 more source
Advances in Difference Equations, 2020 We show the global structure of the set of positive solutions of a discrete Dirichlet problem involving the p-Laplacian difference operator suggesting suitable conditions on the weight function and nonlinearity.
Liping Wei, Ruyun Ma
doaj +1 more source
Picone identities for half-linear elliptic operators with p(x)-Laplacians and applications to Sturmian comparison theory [PDF]
, 2011 Picone identities are established for a class of half-linear elliptic operators with p(x)-Laplacians, and Sturmian comparison theorems are obtained on the basis of the Picone identities.
Yoshida Norio
core +2 more sources
Caccioppoli-type inequalities for Dirac operators
Journal of Inequalities and Applications, 2022 In this paper, we establish the Caccioppoli estimates for the nonlinear differential equation − D ‾ ( | D v | p − 2 D v ) = λ | v | p − 2 v , 1 < p < ∞ , $$ - \overline{D}\bigl( \vert Dv \vert ^{p-2}Dv\bigr) = \lambda \vert v \vert ^{p-2}v, \quad 1< p ...
Ardak Kashkynbayev, Gulaiym Oralsyn
doaj +1 more source
A Liouville-type theorem for the p-Laplacian with potential term [PDF]
, 2007 In this paper we prove a sufficient condition, in terms of the behavior of a ground state of a singular p-Laplacian problem with a potential term, such that a nonzero subsolution of another such problem is also a ground state.
Pinchover, Yehuda +2 more
core +3 more sources
Advanced Nonlinear Studies, 2023 In this article, we study the uniqueness of positive symmetric solutions of the following mean curvature problem in Euclidean space: (P)u′1+∣u′∣2′+h(x)f(u)=0 ...
Lee Yong-Hoon, Yang Rui
doaj +1 more source
Pliny On Cicero And Oratory - Self-Fashioning In The Public Eye [PDF]
, 1995 Classic
Riggsby, Andrew M.
core +1 more source