Elliptic equations for measures on infinite dimensional spaces and applications

Vladimir I. Bogachev; Michael Röckner

doi:10.1007/pl00008789

Elliptic equations for measures on infinite dimensional spaces and applications

Probability Theory and Related Fields ◽

10.1007/pl00008789 ◽

2001 ◽

Vol 120 (4) ◽

pp. 445-496 ◽

Cited By ~ 29

Author(s):

Vladimir I. Bogachev ◽

Michael Röckner

Keyword(s):

Elliptic Equations ◽

Infinite Dimensional

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Elliptic equations for invariant measures on finite and infinite dimensional manifolds

Journal de Mathématiques Pures et Appliquées ◽

10.1016/s0021-7824(00)01187-9 ◽

2001 ◽

Vol 80 (2) ◽

pp. 177-221 ◽

Cited By ~ 28

Author(s):

Vladimir I. Bogachev ◽

Michael Röckner ◽

Feng-Yu Wang

Keyword(s):

Elliptic Equations ◽

Invariant Measures ◽

Infinite Dimensional

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Elliptic equations for infinite dimensional probability distributions and Lyapunov functions

Comptes Rendus de l Académie des Sciences - Series I - Mathematics ◽

10.1016/s0764-4442(00)88221-x ◽

1999 ◽

Vol 329 (8) ◽

pp. 705-710 ◽

Cited By ~ 5

Author(s):

Vladimir Bogachev ◽

Michael Röckner

Keyword(s):

Elliptic Equations ◽

Lyapunov Functions ◽

Probability Distributions ◽

Infinite Dimensional

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Infinite-dimensional elliptic equations and operators of Lévy type

Russian Mathematical Surveys ◽

10.1070/rm1986v041n04abeh003377 ◽

1986 ◽

Vol 41 (4) ◽

pp. 119-170 ◽

Cited By ~ 15

Author(s):

M N Feller

Keyword(s):

Elliptic Equations ◽

Infinite Dimensional

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Maximal Sobolev regularity for solutions of elliptic equations in infinite dimensional Banach spaces endowed with a weighted Gaussian measure

Journal of Differential Equations ◽

10.1016/j.jde.2016.09.011 ◽

2016 ◽

Vol 261 (12) ◽

pp. 7099-7131 ◽

Cited By ~ 6

Author(s):

G. Cappa ◽

S. Ferrari

Keyword(s):

Banach Spaces ◽

Gaussian Measure ◽

Elliptic Equations ◽

Sobolev Regularity ◽

Infinite Dimensional

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A comparison result for elliptic equations in the infinite dimensional Gauss space

Nonlinear Analysis ◽

10.1016/j.na.2010.06.013 ◽

2010 ◽

Vol 73 (7) ◽

pp. 2298-2309 ◽

Cited By ~ 2

Author(s):

F. Feo

Keyword(s):

Elliptic Equations ◽

Comparison Result ◽

Infinite Dimensional ◽

Gauss Space

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Solvability of infinite-dimensional elliptic equations with variable coefficients

Mathematical Notes ◽

10.1007/bf01159515 ◽

1979 ◽

Vol 25 (3) ◽

pp. 221-224

Author(s):

M. N. Feller

Keyword(s):

Elliptic Equations ◽

Variable Coefficients ◽

Infinite Dimensional

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Infinite-dimensional Dirichlet operators I: Essential selfadjointness and associated elliptic equations

Potential Analysis ◽

10.1007/bf01047670 ◽

1993 ◽

Vol 2 (1) ◽

pp. 1-21 ◽

Cited By ~ 5

Author(s):

Ju. G. Kondratiev ◽

T. V. Tsycalenko

Keyword(s):

Elliptic Equations ◽

Infinite Dimensional ◽

Dirichlet Operators ◽

Essential Selfadjointness

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Some results for semilinear elliptic equations with critical potential

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s030821050200001x ◽

2002 ◽

Vol 132 (01) ◽

pp. 1

Keyword(s):

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Critical Potential ◽

Semilinear Elliptic

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POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS WITH MIXED BOUNDARY CONDITIONS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30162-0 ◽

1992 ◽

Vol 12 (3) ◽

pp. 292-303

Author(s):

Ruying Xue

Keyword(s):

Boundary Conditions ◽

Positive Solutions ◽

Elliptic Equations ◽

Mixed Boundary ◽

Nonlinear Elliptic Equations ◽

Mixed Boundary Conditions ◽

Nonlinear Elliptic

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L∞ ESTIMATE FOR SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS IN RN

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30092-4 ◽

1994 ◽

Vol 14 (1) ◽

pp. 75-81

Author(s):

Gongbao Li

Keyword(s):

Elliptic Equations ◽

Nonlinear Elliptic Equations ◽

Nonlinear Elliptic

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