On the discrete version of Picone's identity [PDF]
Discrete Applied Mathematics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Allegretto, Walter, Huang, Yin Xi
+11 more sources
Generalized Picone's identity and its applications
Electronic Journal of Differential Equations, 2013 In this article we give a generalized version of Picone's identity in a nonlinear setting for the p-Laplace operator. As applications we give a Sturmian Comparison principle and a Liouville type theorem.
Kaushik Bal
doaj +2 more sources
Generalized nonlinear Picone's identity for the p-Laplacian and its applications
Electronic Journal of Differential Equations, 2016 In this article we derive a generalized version of nonlinear Picone's identity for the p-Laplacian. We use this identity to obtain a Hardy-type inequality and a Sturm comparison result.
Aydin Tiryaki
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
$$A$$ 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 Picone identity for variable exponent operators and applications [PDF]
Advances in Nonlinear Analysis, 2019 Abstract In this work, we establish a new Picone identity for anisotropic quasilinear operators, such as the p(x)-Laplacian defined as div(|∇ u| p(x)−2 ∇ u). Our extension provides a new version of the Diaz-Saa inequality and new uniqueness results to some quasilinear elliptic equations with variable exponents.
Arora Rakesh +2 more
openaire +4 more sources
Picone-type identity and comparison results for a class of partial differential equations of order 4m [PDF]
Opuscula Mathematica, 2013 In the paper, a Picone-type identity for the weighted \(p\)-polyharmonic operator is established and comparison theorems and other qualitative results for a class of half-linear partial differential equations of the \(4m\)th order based on this identity ...
Jaroslav Jaroš
doaj +1 more source
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 inequality are shown.
Tingfu Feng, Xuewei Cui
openaire +3 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
openaire +1 more source
A Picone's identity for the p(x)-Laplace equations and its applications [PDF]
Mathematical Inequalities & Applications, 2021 Summary: In this paper, we present a Picone identity for the \(p(x)\)-Laplace equations and establish some applications of this formula, such as Caccioppoli inequalities, nonexistence of positive supersolutions, domain monotonicity property, uniqueness and simplicity of the first eigenvalue, Hardy type inequality, Barta-type inequality, a nonlinear ...
openaire +2 more sources