scholarly journals High multiplicity of positive solutions for superlinear indefinite problems with homogeneous Neumann boundary conditions

2018 ◽  
Vol 467 (1) ◽  
pp. 673-698 ◽  
Author(s):  
Andrea Tellini
Keyword(s):  
Boundary Conditions ◽  
Positive Solutions ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
High Multiplicity ◽  
Indefinite Problems ◽  
Multiplicity Of Positive Solutions

Symmetry properties of positive solutions of elliptic equations in an infinite sectorial cone

1992 ◽  
Vol 122 (1-2) ◽  
pp. 137-160
Author(s):  
Chie-Ping Chu ◽  
Hwai-Chiuan Wang
Keyword(s):  
Boundary Conditions ◽  
Positive Solution ◽  
Positive Solutions ◽  
Elliptic Equations ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
Semilinear Elliptic Equations ◽  
Spherically Symmetric ◽  
Semilinear Elliptic ◽  
Symmetry Properties

SynopsisWe prove symmetry properties of positive solutions of semilinear elliptic equations Δu + f(u) = 0 with Neumann boundary conditions in an infinite sectorial cone. We establish that any positive solution u of such equations in an infinite sectorial cone ∑α in ℝ3 is spherically symmetric if the amplitude α of ∑α is not greater than π.

scholarly journals EXISTENCE OF POSITIVE SOLUTION FOR A QUASI-LINEAR PROBLEM WITH CRITICAL GROWTH IN N+

2009 ◽  
Vol 51 (2) ◽  
pp. 367-383 ◽  
Author(s):  
CLAUDIANOR O. ALVES ◽  
ANGELO R. F. DE HOLANDA ◽  
JOSÉ A. FERNANDES
Keyword(s):  
Boundary Conditions ◽  
Critical Exponent ◽  
Positive Solution ◽  
Half Space ◽  
Positive Solutions ◽  
Linear Problem ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
Existence Of Positive Solutions ◽  
Linear Problems

AbstractIn this paper we show existence of positive solutions for a class of quasi-linear problems with Neumann boundary conditions defined in a half-space and involving the critical exponent.

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