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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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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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 +2 more
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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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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.
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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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Picone-type inequalities for nonlinear elliptic equations with first-order terms and their applications [PDF]
Journal of Inequalities and Applications, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Takaŝi Kusano +2 more
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Generalized Picone inequalities and their applications to (p,q)-Laplace equations
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
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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
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