scholarly journals Partial Differential Equations — New classes of entire solutions for semilinear elliptic problems in ℝn

2010 ◽  
pp. 33-45 ◽  
Author(s):  
Andrea Malchiodi
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Elliptic Problems ◽  
Entire Solutions ◽  
Partial Differential ◽  
Semilinear Elliptic ◽  
Semilinear Elliptic Problems

scholarly journals Entire Solutions of

2005 ◽  
Vol 178 ◽  
pp. 151-162 ◽  
Author(s):  
Bao Qin li
Keyword(s):  
Entire Function ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Entire Solutions ◽  
Partial Differential

The paper is concerned with description of entire solutions of the partial differential equations where m ≥ 2, n ≥ 2 are integers and g is a polynomial or an entire function in C2. Descriptions are given and complemented by various examples.

An Equivalent Form of Picard’s Theorem and Beyond

2018 ◽  
Vol 61 (1) ◽  
pp. 142-148 ◽  
Author(s):  
Bao Qin Li
Keyword(s):  
Functional Equation ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Equivalent Form ◽  
Entire Solutions ◽  
Partial Differential ◽  
Picard’S Theorem ◽  
Picard's Theorem

AbstractThis paper gives an equivalent form of Picard’s theorem via entire solutions of the functional equation f2 + g2 = 1 and then its improvements and applications to certain nonlinear (ordinary and partial) differential equations.

SAINT-VENANT TYPE DECAY RESULTS FOR ILL-POSED ELLIPTIC PROBLEMS

2000 ◽  
Vol 10 (05) ◽  
pp. 771-783 ◽  
Author(s):  
KAREN A. AMES ◽  
LAWRENCE E. PAYNE
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Elliptic Problems ◽  
Vital Role ◽  
Cylindrical Domain ◽  
Differential Inequalities ◽  
Partial Differential ◽  
First Order ◽  
Decay Of Solutions ◽  
Ill Posed

Differential inequalities play a vital role in the study of ordinary and partial differential equations. In this paper we make use of first-order differential inequalities to investigate the decay of solutions to two ill-posed elliptic problems in a semi-infinite cylindrical domain.

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