Results 141 to 150 of about 527 (165)

Generalized Picone Identity for the Finsler p-Laplacian and its Applications

Ukrainian Mathematical Journal, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gaurav Dwivedi
exaly   +2 more sources

Picone identities for ordinary differential equations of fourth order

Mathematics journal of Toyama University, 2004
The authors establish a new type of Picone identity for fourth-order differential equations and derive the corresponding Sturmian comparison theorem.
Tanigawa, Tomoyuki, Yoshida, Norio
openaire   +4 more sources

A TREATMENT OF STURM-LIOUVILLE EIGENVALUE PROBLEMS VIA PICONE'S IDENTITY

Analysis (Germany), 1985
In the present paper self-adjoint Sturm-Liouville eigenvalue problems of even order are considered. While the existing proofs of the classical results, in particular of Rayleigh's principle, use methods from the calculus of variations and from the theory of integral equations (in connection with Green's function), we derive these results from a ...
Kratz, W., Peyerimhoff, A.
exaly   +2 more sources

Picone identity for quasilinear elliptic equations with -Laplacians and Sturmian comparison theory

Applied Mathematics and Computation, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +3 more sources

Caccioppoli estimates through an anisotropic Picone’s identity

Proceedings of the American Mathematical Society, 2014
Summary: Caccioppoli-type estimates for a class of nonlinear differential operators which include the \( p\)-Laplacian and the pseudo \( p\)-Laplacian as special cases are obtained by means of the differential identity involving an arbitrary norm in \( \mathbb{R}^n\) which generalizes the well-known multidimensional Picone's formula.
openaire   +2 more sources

Picone type identities and definiteness of quadratic functionals on time scales

Applied Mathematics and Computation, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Roman Simon Hilscher, Vera Zeidan
openaire   +2 more sources

Generalised nonlinear Picone identities for p-sub-Laplacians and p-biharmonic operators and applications

Advances in Operator Theory, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Durvudkhan Suragan, Nurgissa Yessirkegenov   +1 more
openaire   +2 more sources

New nonlinear Picone identities with variable exponents and applications

Commentationes Mathematicae Universitatis Carolinae
Summary: This paper introduces two novel nonlinear anisotropic Picone identities with variable exponents that expand upon the traditional identity used for the ordinary Laplace equation. Additionally, the research explores potential applications of these findings in anisotropic Sobolev spaces featuring variable exponents.
Khelifi, Hichem, El Hadfi, Youssef
openaire   +1 more source

The application of Picone-type identity for some nonlinear elliptic differential equations

2003
Summary: There is established a Picone-type identity for the second order partial differential equation \[ \sum ^N_{i=1}\frac {\partial }{\partial x_i} \Biggl (r_i(x)\,\varphi \left (\frac {\partial u}{\partial x_i}\right)\Biggl) +\, c(x)\varphi (u) = 0, \quad \varphi (u) :=| u| ^{p-1}u,\;p>0.\leqno {(*)} \] Using this identity there is proved the ...
Bognár, G., Dosly, O.
openaire   +1 more source

Picone’s identity for biharmonic operators on Heisenberg group and its applications

Nonlinear Differential Equations and Applications, 2016
Gaurav Dwivedi, Jagmohan Tyagi
exaly