Results 51 to 60 of about 141 (130)

The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Ampère measures. [PDF]

Calc Var Partial Differ Equ, 2022
Colesanti A, Ludwig M, Mussnig F.
europepmc   +1 more source

Isoperimetric inequalities for -Hessian equations

Advances in Nonlinear Analysis, 2012
We consider the homogeneous Dirichlet problem for a special -Hessian equation of sub-linear type in a -convex domain , . We study the comparison between the solution of this problem and the (radial) solution of the corresponding problem in a ball having ...
Mohammed Ahmed, Porru Giovanni, Safoui Abdessalam   +2 more
doaj   +1 more source

Extended symmetry of the Witten-Dijkgraaf-Verlinde-Verlinde equation of Monge-Ampere type [PDF]

Opuscula Mathematica
We construct the Lie algebra of extended symmetry group for the Monge-Ampere type Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equation. This algebra includes novel generators that are unobtainable within the framework of the classical Lie approach and ...
Patryk Sitko, Ivan Tsyfra
doaj   +1 more source

Positive Solutions of Two-Point Boundary Value Problems for Monge-Ampère Equations

Journal of Function Spaces, 2015
This paper considers the following boundary value problem: ((-u'(t))n)'=ntn-1f(u(t ...
Baoqiang Yan, Meng Zhang
doaj   +1 more source

A Note on the Asymptotic Behavior of Parabolic Monge-Ampère Equations on Riemannian Manifolds

Journal of Applied Mathematics, 2013
We study the asymptotic behavior of the parabolic Monge-Ampère equation in , in , where is a compact complete Riemannian manifold, λ is a positive real parameter, and is a smooth function.
Qiang Ru
doaj   +1 more source

A Least-Squares Method for the Solution of the Non-smooth Prescribed Jacobian Equation. [PDF]

J Sci Comput, 2022
Caboussat A, Glowinski R, Gourzoulidis D.   +2 more
europepmc   +1 more source

Contact Geometry of Hyperbolic Equations of Generic Type

Symmetry, Integrability and Geometry: Methods and Applications, 2008
We study the contact geometry of scalar second order hyperbolic equations in the plane of generic type. Following a derivation of parametrized contact-invariants to distinguish Monge-Ampère (class 6-6), Goursat (class 6-7) and generic (class 7-7 ...
Dennis The
doaj   +1 more source

The Föppl-von Kármán equations of elastic plates with initial stress. [PDF]

R Soc Open Sci, 2022
Ciarletta P, Pozzi G, Riccobelli D.
europepmc   +1 more source

APPLICATION OF BACKLUND DIFFERENTIAL CONSTRAINT FOR CONSTRUCTING EXACT SOLUTIONS OF NONLINEAR HYPERBOLIC EQUATIONS

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. Finding exact solutions of nonlinear partial differential equations is one of the main problems of the nonlinear systems theory. A number of methods have been developed for integrable systems, but due to the complexity of various nonlinear
T. V. Red'kina, O. V. Novikova
doaj   +1 more source

BACKLUND TRANSFORMATIONS FOR LIOUVILLE’S EQUATIONS WITH EXPONENTIAL NONLINEARITY

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. The study of Backlund 's transformations is one of the current topics in the theory of differential equations in partial derivatives. Such transformations are used to find solutions to nonlinear differential equations, including solitonic ...
T. V. Red'kina, O. V. Novikova
doaj   +1 more source