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]
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
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A generalized nonlinear Picone identity for the p-biharmonic operator and its applications
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
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A non-smooth Brezis-Oswald uniqueness result
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
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Sturm-Picone type theorems for nonlinear differential systems
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
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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
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A Brézis–Oswald-Type Result for the Fractional (r, q)-Laplacian Problems and Its Application
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
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Eigenvalues of the
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
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Income-Related Inequalities in Future Health Prospects. [PDF]
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$\theta _0=\theta _1$
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
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
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