On Fredholm solvability and on the index of the generalized Neumann problem for an elliptic equation

2021 ◽  
pp. 1-17
Author(s):  
B. Koshanov ◽  
A. Soldatov
Keyword(s):  
Elliptic Equation ◽  
Neumann Problem ◽  
Fredholm Solvability

scholarly journals EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A NEUMANN PROBLEM INVOLVING VARIABLE EXPONENT GROWTH CONDITIONS

2008 ◽  
Vol 50 (3) ◽  
pp. 565-574 ◽  
Author(s):  
MARIA-MAGDALENA BOUREANU ◽  
MIHAI MIHĂILESCU
Keyword(s):  
Boundary Condition ◽  
Elliptic Equation ◽  
Neumann Problem ◽  
Neumann Boundary Condition ◽  
Variable Exponent ◽  
Main Tool ◽  
Neumann Boundary ◽  
Growth Conditions ◽  
Linear Elliptic Equation ◽  
Existence And Multiplicity

AbstractIn this paper we study a non-linear elliptic equation involving p(x)-growth conditions and satisfying a Neumann boundary condition on a bounded domain. For that equation we establish the existence of two solutions using as a main tool an abstract linking argument due to Brézis and Nirenberg.

Comparison results for solutions of elliptic Neumann problems with lower-order terms via Steiner symmetrization

2019 ◽  
Vol 26 (1) ◽  
pp. 83-96
Author(s):  
Fengquan Li ◽  
Wenbo Li
Keyword(s):  
Elliptic Equation ◽  
Neumann Problem ◽  
Lower Order ◽  
Linear Elliptic Equation ◽  
Steiner Symmetrization ◽  
Comparison Result ◽  
Neumann Problems ◽  
Comparison Results ◽  
Lower Order Terms

Abstract In this paper, we consider a Neumann problem for a linear elliptic equation with lower-order terms. A comparison result for solutions of the problem is proved by using Steiner symmetrization.

SOLUTION OF THE NEUMANN PROBLEM FOR ONE FOUR-DIMENSIONAL ELLIPTIC EQUATION

2020 ◽  
Vol 11 (2) ◽  
pp. 93-97
Author(s):  
Abdumauvlen Berdyshev ◽  
◽  
Ainur Ryskan ◽  
Anvar Hasanov ◽  
◽  
...  
Keyword(s):  
Elliptic Equation ◽  
Neumann Problem ◽  
The Neumann Problem
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