Results 11 to 20 of about 161 (127)

Sturm comparison theorems via Picone-type inequalities for some nonlinear elliptic type equations with damped terms [PDF]

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2014
In this paper, we establish a Picone-type inequality for a class of some nonlinear elliptic type equations with damped terms, and obtain Sturmian comparison theorems using the Picone-type inequality.
Aydin Tiryaki, Sinem Sahiner
doaj   +2 more sources

A generalized nonlinear Picone identity for the p-biharmonic operator and its applications

open access: yesJournal of Inequalities and Applications, 2019
A generalized nonlinear Picone identity for the p-biharmonic operator is established in this paper. As applications, a Sturmian comparison principle to the p-biharmonic equation with singular term, a Liouville’s theorem to the p-biharmonic system, and a ...
Tingfu Feng
doaj   +2 more sources

A non-smooth Brezis-Oswald uniqueness result

open access: yesOpen Mathematics, 2023
We classify the non-negative critical points in W01,p(Ω){W}_{0}^{1,p}\left(\Omega ) of J(v)=∫ΩH(Dv)−F(x,v)dx,J\left(v)=\mathop{\int }\limits_{\Omega }\hspace{0.15em}H\left(Dv)-F\left(x,v){\rm{d}}x, where HH is convex and positively pp-homogeneous, while ...
Mosconi Sunra
doaj   +2 more sources

Sturm-Picone type theorems for nonlinear differential systems

open access: yesElectronic Journal of Differential Equations, 2015
In this article, we establish a Picone-type inequality for a pair of first-order nonlinear differential systems. By using this inequality, we give Sturm-Picone type comparison theorems for these systems and a special class of second-order half-linear ...
Aydin Tiryaki
doaj   +1 more source

Uniqueness of Positive Solutions to Non-Local Problems of Brézis–Oswald Type Involving Hardy Potentials

open access: yesMathematics
The aim of this paper is to demonstrate the existence of a unique positive solution to non-local fractional p-Laplacian equations of the Brézis–Oswald type involving Hardy potentials.
Yun-Ho Kim
doaj   +2 more sources

A Brézis–Oswald-Type Result for the Fractional (r, q)-Laplacian Problems and Its Application

open access: yesFractal and Fractional
This study derives the uniqueness of positive solutions to Brézis–Oswald-type problems involving the fractional (r,q)-Laplacian operator and discontinuous Kirchhoff-type coefficients.
Yun-Ho Kim, In Hyoun Kim
doaj   +2 more sources

Eigenvalues of the -Laplacian and disconjugacy criteria

open access: yesJournal of Inequalities and Applications, 2006
We derive oscillation and nonoscillation criteria for the one-dimensional -Laplacian in terms of an eigenvalue inequality for a mixed problem. We generalize the results obtained in the linear case by Nehari and Willett, and the proof is based on a ...
Pinasco Juan P, De Napoli Pablo L
doaj   +1 more source

Income-Related Inequalities in Future Health Prospects. [PDF]

open access: yesHealth Econ
ABSTRACT Measuring health disparities is key to monitoring health systems, but hitherto disparities in the individual risk people face about their future health has been neglected. This paper integrates individual health risk into income‐related health inequality measurement.
Kjellsson G, Petrie D, Van Ourti T.
europepmc   +2 more sources

Holmstedt's formula for the K‐functional: the limit case θ0=θ1$\theta _0=\theta _1$

open access: yesMathematische Nachrichten, Volume 296, Issue 12, Page 5474-5492, December 2023., 2023
Abstract We consider K‐interpolation spaces involving slowly varying functions, and derive necessary and sufficient conditions for a Holmstedt‐type formula to be held in the limiting case θ0=θ1∈{0,1}$\theta _0=\theta _1\in \lbrace 0,1\rbrace$. We also study the case θ0=θ1∈(0,1)$\theta _0=\theta _1\in (0,1)$.
Irshaad Ahmed   +2 more
wiley   +1 more source

Oscillations and unboundedness of solutions of superlinear-sublinear parabolic equations via Picone-type inequality

open access: yesOscillations and unboundedness of solutions of superlinear-sublinear parabolic equations via Picone-type inequality
application/pdf A Picone-type inequality is established for a class of superlinear-sublinear parabolic equations, and oscillatory behavior and unboundedness of solutions are investigated by using the Piconetype inequality.
Yoshida, Norio
openaire   +1 more source

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