scholarly journals A priori estimates for elliptic problems via Liouville type theorems

2020 ◽  
Vol 13 (7) ◽  
pp. 1883-1898 ◽  
Author(s):  
Laura Baldelli ◽  
◽  
Roberta Filippucci ◽  
Keyword(s):  
A Priori Estimates ◽  
A Priori ◽  
Elliptic Problems ◽  
Liouville Type ◽  
Priori Estimates ◽  
Liouville Type Theorems

scholarly journals Uniform a priori estimates for elliptic problems with impedance boundary conditions

2020 ◽  
Vol 19 (5) ◽  
pp. 2445-2471
Author(s):  
Théophile Chaumont-Frelet ◽  
◽  
Serge Nicaise ◽  
Jérôme Tomezyk ◽  
Keyword(s):  
Boundary Conditions ◽  
A Priori Estimates ◽  
A Priori ◽  
Elliptic Problems ◽  
Impedance Boundary ◽  
Impedance Boundary Conditions ◽  
Priori Estimates

scholarly journals A priori estimates for solutions to anisotropic elliptic problems via symmetrization

2016 ◽  
Vol 290 (7) ◽  
pp. 986-1003 ◽  
Author(s):  
A. Alberico ◽  
G. di Blasio ◽  
F. Feo
Keyword(s):  
A Priori Estimates ◽  
A Priori ◽  
Elliptic Problems ◽  
Priori Estimates

Uniformly Elliptic Liouville Type Equations Part II: Pointwise Estimates and Location of Blow up Points

2010 ◽  
Vol 10 (4) ◽  
Author(s):  
Daniele Bartolucci ◽  
Luigi Orsina
Keyword(s):  
Blow Up ◽  
A Priori Estimates ◽  
A Priori ◽  
Pointwise Estimate ◽  
Divergence Form ◽  
Type Problem ◽  
Pointwise Estimates ◽  
Liouville Type ◽  
Priori Estimates

AbstractWe refine the analysis, initiated in [3], [4] of the blow up phenomenon for the following two dimensional uniformly elliptic Liouville type problem in divergence form:We provide a partial generalization of a result of Y.Y. Li [18] to the case A ≠ I. To this end, in the same spirit of [2], we obtain a sharp pointwise estimate for simple blow up sequences. Moreover, we prove that if {p(∆detA)(pj) = 0, ∀ j = 1, ...,N.This characterization of the blow up set yields an improvement of the a priori estimates already established in [3].

scholarly journals Erratum to: A-priori Estimates Near the Boundary for Solutions of a class of Degenerate Elliptic Problems in Besov-type Spaces; DOI 10.1515/mjpaa-2017-0013

2018 ◽  
Vol 4 (1) ◽  
pp. 44-45
Author(s):  
Azzeddine El Baraka ◽  
Mohammed Masrour
Keyword(s):  
A Priori Estimates ◽  
A Priori ◽  
Elliptic Problems ◽  
Priori Estimates ◽  
Degenerate Elliptic ◽  
Type Spaces ◽  
Besov Type Spaces

AbstractIn this note, we point out some minor errors found in [1] and we give the proper corrections.

scholarly journals A-priori Estimates Near the Boundary for Solutions of a class of Degenerate Elliptic Problems in Besov-type Spaces

2017 ◽  
Vol 3 (2) ◽  
pp. 149-172 ◽  
Author(s):  
Azzeddine El Baraka ◽  
Mohammed Masrour
Keyword(s):  
Besov Spaces ◽  
A Priori Estimates ◽  
A Priori ◽  
Elliptic Problems ◽  
General Frame ◽  
Priori Estimates ◽  
Special Cases ◽  
Degenerate Elliptic ◽  
Type Spaces ◽  
Besov Type Spaces

AbstractIn this paper, we give a priori estimates near the boundary for solutions of a degenerate elliptic problems in the general Besov-type spaces $B_{p,q}^{s,\tau }$, containing as special cases: Goldberg space bmo, local Morrey-Campanato spaces l2,λ and the classical Hölder and Besov spaces $B_{p,q}^s $. This work extends the results of [13, 2, 15] from Hölder and Besov spaces to the general frame of $B_{p,q}^{s,\tau }$ spaces.

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