Results 1 to 10 of about 1,915 (120)

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
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Generalized Picone inequalities and their applications to (p,q)-Laplace equations [PDF]

Open Mathematics, 2020
We obtain a generalization of the Picone inequality which, in combination with the classical Picone inequality, appears to be useful for problems with the (p,q)(p,q)-Laplace-type operators.
Bobkov Vladimir, Tanaka Mieko
doaj   +5 more sources

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

Electronic 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
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Forced Oscillations of Half-Linear Elliptic Equations via Picone-Type Inequality [PDF]

International Journal of Differential Equations, 2010
Picone-type inequality is established for a class of half-linear elliptic equations with forcing term, and oscillation results are derived on the basis of the Picone-type inequality. Our approach is to reduce the multi-dimensional oscillation problems to
Norio Yoshida
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Picone-type inequalities for nonlinear elliptic equations and their applications

Journal of Inequalities and Applications, 2001
Picone-type inequalities are derived for nonlinear elliptic equations, and Sturmian comparison theorems are established as applications. Oscillation theorems for forced super-linear elliptic equations and superlinear-sublinear elliptic equations are ...
Takaŝi Kusano, Yoshida Norio, Jaroš Jaroslav   +2 more
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Picone-type inequality and Sturmian comparison theorems for quasilinear elliptic operators with p(x)-Laplacians

Electronic Journal of Differential Equations, 2012
A Picone-type inequality for quasilinear elliptic operators with mixed nonlinearities and with p(x)-Laplacian is established, and Sturmian comparison theorems are derived on the basis of the Picone-type inequality.
Norio Yoshida
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Sturm comparison theorems for some elliptic type equations via Picone-tpye inequalities [PDF]

Proceedings of The 10'th Colloquium on the Qualitative Theory of Differential Equations (July 1–4, 2015, Szeged, Hungary) edited by: T. Krisztin, 2016
Summary: Sturm theorems have appeared as one of the fundamental subjects in qualitative theory to determine properties of the solutions of differential equations. Motivated by some recent developments for half-linear type elliptic equations, we obtain Picone-type inequalities for two pairs of elliptic type equations with damping and external terms in ...
Tiryaki, Aydin, Sahiner, Sinem, Misirli, Emine   +2 more
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Convexity properties of Dirichlet integrals and Picone-type inequalities [PDF]

Kodai Mathematical Journal, 2014
We focus on three different convexity principles for local and nonlocal variational integrals. We prove various generalizations of them, as well as their equivalences. Some applications to nonlinear eigenvalue problems and Hardy-type inequalities are given.
BRASCO, Lorenzo, Franzina G.
openaire   +7 more sources

An oscillation theorem for the nonlinear degenerate elliptic equation in the Heisenberg group

Boundary Value Problems, 2021
The aim of this paper is to study the oscillation of solutions of the nonlinear degenerate elliptic equation in the Heisenberg group H n $H^{n}$ . We first derive a critical inequality in H n $H^{n}$ . Based on it, we establish a Picone-type differential
Duan Wu, Pengcheng Niu
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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
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