A nonlinear Picone’s identity and its applications [PDF]
Applied Mathematics Letters, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Allegretto, Walter, Huang, Yin Xi
exaly +10 more sources
$$A$$ A -harmonic Picone’s identity with applications
Annali di Matematica Pura ed Applicata (1923 -), 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nhan, Nguyen Du Vi +3 more
openaire +8 more sources
A generalized nonlinear Picone identity for the p-biharmonic operator and its applications [PDF]
Journal 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 +3 more sources
Sturm comparison theorems via Picone-type inequalities for some nonlinear elliptic type equations with damped terms [PDF]
, 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.
Sahiner, Sinem, Tiryaki, A.
core +4 more sources
Picone-type identity for pseudo p-Laplacian with variable power
Electronic Journal of Differential Equations, 2012 A Picone type identity is established for homogeneous differential operators involving the pseudo p-Laplacian with variable exponent p=p(x). Using this identity, it is shown that the classical Sturmian theory extends to the associated partial ...
Gabriella Bognar, Ondrej Dosly
doaj +2 more sources
Picone's identity for a system of first-order nonlinear partial differential equations
Electronic Journal of Differential Equations, 2013 We established a Picone identity for systems of nonlinear partial differential equations of first-order. With the help of this formula, we obtain qualitative results such as an integral inequality of Wirtinger type and the existence of zeros for the ...
Jaroslav Jaros
doaj +2 more sources
A new variable exponent Picone identity and applictions [PDF]
Mathematical Inequalities & Applications, 2019 Summary: In this paper, we derive a new variable exponent Picone identity for \(p(x)\)-Laplacian, which contains some known Picone identities. As applications, a strict monotonicity of principal eigenvalues with respect to domains for the eigenvalue problems to \(p(x)\)-Laplace equation, a variable exponent Barta type inequality, a variable exponent ...
Feng, Tingfu, Han, Junqiang
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Periodic attractors of perturbed one-dimensional maps [PDF]
, 2013 In this paper we investigate how many periodic attractors maps in a small neighbourhood of a given map can have. For this purpose we develop new tools which help to make uniform cross-ratio distortion estimates in a neighbourhood of a map with degenerate
Kozlovski, O.
core +2 more sources
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
doaj +1 more source
High Order Riesz Transforms and Mean Value Formula for Generalized Translate Operator [PDF]
, 2013 In this paper, the mean value formula depends on the Bessel generalized shift operator corresponding to the solutions of the boundary value problem related to the Bessel operator are studied.
Ekincioglu, I., Keskin, C., Sayan, H. H.
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