Multibump Solutions of a Semilinear Elliptic PDE on Rn

1993 ◽  
pp. 175-185
Author(s):  
Paul H. Rabinowitz
Keyword(s):  
Elliptic Pde ◽  
Semilinear Elliptic

A priori estimates for a semilinear elliptic PDE

1995 ◽  
Vol 24 (7) ◽  
pp. 1039-1048 ◽  
Author(s):  
Joseph A. Iaia
Keyword(s):  
A Priori Estimates ◽  
A Priori ◽  
Elliptic Pde ◽  
Semilinear Elliptic ◽  
Priori Estimates

scholarly journals A study of second order semilinear elliptic PDE involving measures

Filomat ◽  
2019 ◽  
Vol 33 (8) ◽  
pp. 2489-2506
Author(s):  
Ratan Giri ◽  
Debajyoti Choudhuri
Keyword(s):  
Boundary Value Problem ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Weak Sense ◽  
Semilinear Elliptic Equation ◽  
Second Order ◽  
Elliptic Pde ◽  
Very Weak Solutions ◽  
Radon Measures ◽  
Semilinear Elliptic

The objective of this article is to study the boundary value problem for the general semilinear elliptic equation of second order involving L1 functions or Radon measures with finite total variation. The study investigates the existence and uniqueness of ?very weak? solutions to the boundary value problem for a given L1 function. However, a ?very weak? solution need not exist when an L1 function is replaced with a measure due to which the corresponding reduced limits has been found for which the problem admits a solution in a ?very weak? sense.

scholarly journals Backwards SDE with random terminal time and applications to semilinear elliptic PDE

1997 ◽  
Vol 25 (3) ◽  
pp. 1135-1159 ◽  
Author(s):  
R. W. R. Darling ◽  
Etienne Pardoux
Keyword(s):  
Elliptic Pde ◽  
Semilinear Elliptic ◽  
Terminal Time

scholarly journals HOMOGENIZATION OF A PERIODIC DEGENERATE SEMILINEAR ELLIPTIC PDE

2011 ◽  
Vol 11 (02n03) ◽  
pp. 475-493 ◽  
Author(s):  
ÉTIENNE PARDOUX ◽  
AHMADOU BAMBA SOW
Keyword(s):  
Differential Operator ◽  
Weak Convergence ◽  
Diffusion Processes ◽  
Probabilistic Method ◽  
Second Order ◽  
Elliptic Pde ◽  
Semilinear Elliptic ◽  
Terminal Time ◽  
Oscillating Coefficients ◽  
Order Part

In this paper, a semilinear elliptic PDE with rapidly oscillating coefficients is homogenized. The novelty of our result lies in the fact that we allow the second order part of the differential operator to be degenerate in some portion of ℝd. Our fully probabilistic method is based on the connection between PDEs and BSDEs with random terminal time and the weak convergence of a class of diffusion processes.

scholarly journals Symmetry and Automated Branch Following for a Semilinear Elliptic PDE on a Fractal Region

2006 ◽  
Vol 5 (3) ◽  
pp. 476-507 ◽  
Author(s):  
John M. Neuberger ◽  
Nándor Sieben ◽  
James W. Swift
Keyword(s):  
Elliptic Pde ◽  
Semilinear Elliptic
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