On the generalizations of the Kummer–schwarz equation

YD Bozhkov, PR da Conceição - Nonlinear Analysis, 2020 - Elsevier
We carry out complete group classifications of two non-homogeneous generalizations of the
Kummer–Schwarz equation. In particular we prove that the symmetry algebra for one of …

Symmetries of Ricci flows

E López, S Dimas, Y Bozhkov - Advances in Nonlinear Analysis, 2023 - degruyter.com
In the present work, we find the Lie point symmetries of the Ricci flow on an n-dimensional
manifold, and we introduce a method in order to reutilize these symmetries to obtain the Lie …

Conformal Killing vector fields and Rellich type identities on Riemannian manifolds, II

Y Bozhkov, E Mitidieri - Mediterranean journal of mathematics, 2012 - Springer
We propose a general Noetherian approach to Rellich integral identities. Using this method
we obtain a higher order Rellich type identity involving the polyharmonic operator on …

Lie symmetries and criticality of semilinear differential systems

Y Bozhkov, E Mitidieri - SIGMA. Symmetry, Integrability and Geometry …, 2007 - emis.de
We discuss the notion of criticality of semilinear differential equations and systems, its
relations to scaling transformations and the Noether approach to Pokhozhaev's identities …

[HTML][HTML] Existence and non-existence of nontrivial solutions for Schrödinger systems via Nehari–Pohozaev manifold

D Qin, J Chen, XH Tang - Computers & Mathematics with Applications, 2017 - Elsevier
This paper is concerned with existence of bound states for a coupled gradient system of
nonautonomous Schrödinger equations which arises from studies of nonlinear optics and …

An invitation to modern group analysis of differential equations

Y Bozhkov - Nonlinear Analysis: Theory, Methods & Applications, 2015 - Elsevier
The purpose of this review paper is two-fold. First, we point out one more time the
importance and usefulness of the S. Lie theory of symmetries of differential equations. In …

Pohozhaev and Morawetz identities in elastostatics and elastodynamics

Y Bozhkov, PJ Olver - SIGMA. Symmetry, Integrability and Geometry …, 2011 - emis.de
Pohozhaev and Morawetz Identities in Elastostatics and Elastodynamics⋆ Page 1 Symmetry,
Integrability and Geometry: Methods and Applications SIGMA 7 (2011), 055, 9 pages …

Non-existence of solutions for non-autonomous elliptic systems of Hamiltonian type

P Korman - arXiv preprint arXiv:1610.08335, 2016 - arxiv.org
arXiv:1610.08335v1 [math.AP] 26 Oct 2016 Page 1 arXiv:1610.08335v1 [math.AP] 26 Oct 2016
Non-existence of solutions for non-autonomous elliptic systems Philip Korman ∗ Department of …

[PDF][PDF] Auto-adjunticidade não-linear e leis de conservação para equações evolutivas sobre superfícies regulares

KADEA SILVA - 2013 - repositorio.unicamp.br
Nesta tese estudamos o conceito novo de equaçoes diferenciais nao-linearmente
autoadjuntas para duas classes gerais de equaçoes evolutivas de segunda ordem …

Simetrias de Lie e leis de conservação para sistemas de equações diferenciais parciais sem Lagrangiana modelando fenômenos hidrodinâmicos

VAS Junior - 2019 - repositorio.unicamp.br
Nesta tese, determinamos as simetrias de Lie de alguns sistemas de equações diferenciais
parciais (EDPs) sem Lagrangiana provenientes da hidrodinâmica. Por não possuírem …