Properness of nonlinear elliptic differential operators in Hölder spaces

1992 ◽  
pp. 261-284
Author(s):  
V. G. Zvyagin ◽  
V. T. Dmitrienko
Keyword(s):  
Differential Operators ◽  
Hölder Spaces ◽  
Nonlinear Elliptic ◽  
Elliptic Differential Operators ◽  
Holder Spaces

On the cauchy problem for certain integro-differential operators in Sobolev and Hölder spaces

1992 ◽  
Vol 32 (2) ◽  
pp. 238-264 ◽  
Author(s):  
R. Mikulevičius ◽  
H. Pragarauskas
Keyword(s):  
Cauchy Problem ◽  
Differential Operators ◽  
Hölder Spaces ◽  
The Cauchy Problem ◽  
Holder Spaces

MIXED FRACTIONAL DIFFERENTIATION OPERATORS IN HÖLDER SPACES DEFINED BY USUAL HÖLDER CONDITION

2019 ◽  
Author(s):  
T. Mamatov ◽  
R. Sabirova ◽  
D. Barakaev
Keyword(s):  
Fractional Derivative ◽  
Fractional Differentiation ◽  
Hölder Condition ◽  
Hölder Spaces ◽  
Main Interest ◽  
Hölder Class ◽  
Holder Class ◽  
Function Of Two Variables ◽  
Holder Spaces

We study mixed fractional derivative in Marchaud form of function of two variables in Hölder spaces of different orders in each variables. The main interest being in the evaluation of the latter for the mixed fractional derivative in the cases Hölder class defined by usual Hölder condition

Asymptotic behavior of repeated eigenvalues of perturbed self-adjoint elliptic operators

2021 ◽  
pp. 1-16
Author(s):  
Alexander Dabrowski
Keyword(s):  
General Type ◽  
Differential Operators ◽  
Laplacian Operator ◽  
Variational Characterization ◽  
Repeated Eigenvalues ◽  
Direct Extension ◽  
Asymptotic Formulae ◽  
Elliptic Differential Operators ◽  
Domain Perturbations ◽  
Boundary Deformation

A variational characterization for the shift of eigenvalues caused by a general type of perturbation is derived for second order self-adjoint elliptic differential operators. This result allows the direct extension of asymptotic formulae from simple eigenvalues to repeated ones. Some examples of particular interest are presented theoretically and numerically for the Laplacian operator for the following domain perturbations: excision of a small hole, local change of conductivity, small boundary deformation.

Solvability in Hölder spaces of an integral equation which models dynamics of the capillary rise

2020 ◽  
Vol 490 (1) ◽  
pp. 124237
Author(s):  
Hanna Okrasińska-Płociniczak ◽  
Łukasz Płociniczak ◽  
Juan Rocha ◽  
Kishin Sadarangani
Keyword(s):  
Integral Equation ◽  
Capillary Rise ◽  
Hölder Spaces ◽  
Holder Spaces

scholarly journals Pseudo-monotonicity and degenerated or singular elliptic operators

1998 ◽  
Vol 58 (2) ◽  
pp. 213-221 ◽  
Author(s):  
P. Drábek ◽  
A. Kufner ◽  
V. Mustonen
Keyword(s):  
Sobolev Spaces ◽  
Differential Operators ◽  
Weighted Sobolev Spaces ◽  
Type Inequality ◽  
Elliptic Operators ◽  
Hardy Type Inequality ◽  
Hardy Type ◽  
Elliptic Differential Operators

Using the compactness of an imbedding for weighted Sobolev spaces (that is, a Hardy-type inequality), it is shown how the assumption of monotonicity can be weakened still guaranteeing the pseudo-monotonicity of certain nonlinear degenerated or singular elliptic differential operators. The result extends analogous assertions for elliptic operators.

scholarly journals elliptic differential operators

1994 ◽  
Vol 74 (1) ◽  
pp. 107-128 ◽  
Author(s):  
Wensheng Wang
Keyword(s):  
Differential Operators ◽  
Elliptic Differential Operators

On principal eigenvalues for quasilinear elliptic differential operators: an Orlicz-Sobolev space setting

1999 ◽  
Vol 6 (2) ◽  
pp. 207-225 ◽  
Author(s):  
M. García-Huidobro ◽  
V.K. Le ◽  
R. Manásevich ◽  
K. Schmitt
Keyword(s):  
Sobolev Space ◽  
Differential Operators ◽  
Principal Eigenvalues ◽  
Space Setting ◽  
Elliptic Differential Operators ◽  
Quasilinear Elliptic
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