Asymptotic behavior of solutions of elliptic equations I: Liouville-type theorems for linear and nonlinear equations onR n

Leon Karp

doi:10.1007/bf02803331

Asymptotic behavior of solutions of elliptic equations I: Liouville-type theorems for linear and nonlinear equations onR n

Journal d Analyse Mathématique ◽

10.1007/bf02803331 ◽

1981 ◽

Vol 39 (1) ◽

pp. 75-102 ◽

Cited By ~ 8

Author(s):

Leon Karp

Keyword(s):

Asymptotic Behavior ◽

Nonlinear Equations ◽

Elliptic Equations ◽

Asymptotic Behavior Of Solutions ◽

Liouville Type ◽

Liouville Type Theorems ◽

Linear And Nonlinear

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On asymptotic behavior of solutions of the Dirichlet problem in half-space for linear and quasi-linear elliptic equations

Electronic Research Announcements of the American Mathematical Society ◽

10.1090/s1079-6762-03-00115-x ◽

2003 ◽

Vol 9 (11) ◽

pp. 88-93 ◽

Cited By ~ 12

Author(s):

Vasily Denisov ◽

Andrey Muravnik

Keyword(s):

Asymptotic Behavior ◽

Dirichlet Problem ◽

Half Space ◽

Elliptic Equations ◽

Asymptotic Behavior Of Solutions

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Asymptotic behavior of solutions of elliptic equations II: Analogues of liouville’s theorem for solutions of inequalities onR n ,n≧3

Journal d Analyse Mathématique ◽

10.1007/bf02803332 ◽

1981 ◽

Vol 39 (1) ◽

pp. 103-115 ◽

Cited By ~ 7

Author(s):

Leon Karp

Keyword(s):

Asymptotic Behavior ◽

Elliptic Equations ◽

Asymptotic Behavior Of Solutions ◽

Liouville’S Theorem

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Liouville-type results for fourth order elliptic equations

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s0308210500018862 ◽

1986 ◽

Vol 103 (3-4) ◽

pp. 209-213 ◽

Cited By ~ 1

Author(s):

Vinod B. Goyal

Keyword(s):

Fourth Order ◽

Elliptic Equations ◽

Liouville Type ◽

Liouville Type Theorems ◽

Liouville Type Results ◽

Fourth Order Elliptic Equations

SynopsisLiouville type theorems are obtained for the solutions to elliptic equations of the form Δ2u −q(x)Δu + p(x)f(u)=0 by means of two subharmonic functionals and Green type inequalities.

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Singularity and decay estimates in superlinear problems via Liouville-type theorems, I: Elliptic equations and systems

Duke Mathematical Journal ◽

10.1215/s0012-7094-07-13935-8 ◽

2007 ◽

Vol 139 (3) ◽

pp. 555-579 ◽

Cited By ~ 153

Author(s):

Peter Poláčik ◽

Pavol Quittner ◽

Philippe Souplet

Keyword(s):

Elliptic Equations ◽

Decay Estimates ◽

Liouville Type ◽

Liouville Type Theorems

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Liouville type theorems for nonlinear elliptic equations involving operator in divergence form

Journal of Mathematical Physics ◽

10.1063/1.4753979 ◽

2012 ◽

Vol 53 (10) ◽

pp. 103706

Author(s):

M. Hsini

Keyword(s):

Elliptic Equations ◽

Nonlinear Elliptic Equations ◽

Divergence Form ◽

Liouville Type ◽

Nonlinear Elliptic ◽

Liouville Type Theorems

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Liouville type theorems for nonlinear elliptic equations and systems involving fractional Laplacian in the half space

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-014-0727-8 ◽

2014 ◽

Vol 52 (3-4) ◽

pp. 641-659 ◽

Cited By ~ 20

Author(s):

Alexander Quaas ◽

Aliang Xia

Keyword(s):

Half Space ◽

Elliptic Equations ◽

Fractional Laplacian ◽

Nonlinear Elliptic Equations ◽

Liouville Type ◽

Nonlinear Elliptic ◽

Liouville Type Theorems

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Liouville type theorems for nonlinear elliptic equations on the whole space $\mathbb{R}^{N}$

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-2011-11112-2 ◽

2012 ◽

Vol 140 (8) ◽

pp. 2731-2738 ◽

Cited By ~ 1

Author(s):

Hsini Mounir ◽

Sayeb Wahid

Keyword(s):

Elliptic Equations ◽

Nonlinear Elliptic Equations ◽

Liouville Type ◽

Nonlinear Elliptic ◽

Liouville Type Theorems ◽

Whole Space

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Asymptotic behavior of solutions of semilinear elliptic equations near an isolated singularity

Journal of Functional Analysis ◽

10.1016/j.jfa.2007.05.005 ◽

2007 ◽

Vol 250 (2) ◽

pp. 317-346 ◽

Cited By ~ 12

Author(s):

Florica Corina Cîrstea ◽

Yihong Du

Keyword(s):

Asymptotic Behavior ◽

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Asymptotic Behavior Of Solutions ◽

Isolated Singularity ◽

Semilinear Elliptic

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On the asymptotic behavior of solutions for some semilinear parabolic and elliptic equations of second order with nonlinear boundary conditions

Nonlinear Analysis ◽

10.1016/s0362-546x(99)00423-x ◽

2001 ◽

Vol 45 (7) ◽

pp. 895-908 ◽

Cited By ~ 6

Author(s):

Theodore K. Boni

Keyword(s):

Asymptotic Behavior ◽

Boundary Conditions ◽

Elliptic Equations ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Second Order ◽

Asymptotic Behavior Of Solutions ◽

Semilinear Parabolic

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Liouville theorems for a class of fourth order elliptic equations

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s0308210500012063 ◽

1980 ◽

Vol 86 (1-2) ◽

pp. 129-137 ◽

Cited By ~ 4

Author(s):

Vinod B. Goyal ◽

Philip W. Schaefer

Keyword(s):

Fourth Order ◽

Elliptic Equations ◽

Entire Solutions ◽

Liouville Type ◽

Liouville Theorems ◽

Liouville Type Theorems ◽

Solutions Of Equations ◽

Fourth Order Elliptic Equations

SynopsisLiouville type theorems are obtained for bounded entire solutions of equations of the form Δ2u − q(x)Δu + p(x)u = 0 by means of subharmonic functionals and Green type inequalities.

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