Results 1 to 10 of about 1,833 (109)
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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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
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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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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.
Lorenzo Brasco, Giovanni Franzina
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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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Picone-type inequalities for nonlinear elliptic equations with first-order terms and their applications [PDF]
Journal of Inequalities and Applications, 2006 Picone-type inequalities are established for nonlinear elliptic equations which are generalizations of nonself-adjoint linear elliptic equations, and Sturmian comparison theorems are derived as applications. Oscillation results are also obtained for forced superlinear elliptic equations and superlinear-sublinear elliptic equations.
Taka i Kusano +2 more
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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 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 order to ...
Aydın Tı̇ryakı̇ +2 more
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Forced oscillation criteria for superlinear–sublinear elliptic equations via Picone-type inequality
Journal of Mathematical Analysis and Applications, 2009 AbstractPicone-type inequality is derived for a class of superlinear–sublinear elliptic equations with a forcing term, and oscillation results are established by utilizing the Picone-type inequality. Our approach is to reduce the multi-dimensional oscillation problems to one-dimensional oscillation problems for half-linear ordinary differential ...
Norio Yoshida
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