The Phragmèn-Lindelöf Theorem for a Fully Nonlinear Elliptic Problem with a Dynamical Boundary Condition

2016 ◽  
pp. 159-171
Author(s):  
Kazuhiro Ishige ◽  
Kazushige Nakagawa
Keyword(s):  
Boundary Condition ◽  
Elliptic Problem ◽  
Nonlinear Elliptic Problem ◽  
Fully Nonlinear ◽  
Dynamical Boundary Condition ◽  
Nonlinear Elliptic ◽  
Lindelöf Theorem

scholarly journals Symmetric Solutions of a Nonlinear Elliptic Problem with Neumann Boundary Condition

2012 ◽  
Vol 03 (11) ◽  
pp. 1686-1688
Author(s):  
Ana Magnolia Marin Ramirez ◽  
Ruben Dario Ortiz Ortiz ◽  
Joel Arturo Rodriguez Ceballos
Keyword(s):  
Boundary Condition ◽  
Elliptic Problem ◽  
Neumann Boundary Condition ◽  
Neumann Boundary ◽  
Nonlinear Elliptic Problem ◽  
Nonlinear Elliptic

scholarly journals A Sub-Supersolution Approach for Robin Boundary Value Problems with Full Gradient Dependence

Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 658 ◽  
Author(s):  
Dumitru Motreanu ◽  
Angela Sciammetta ◽  
Elisabetta Tornatore
Keyword(s):  
Boundary Condition ◽  
Boundary Value Problems ◽  
Positive Solutions ◽  
Elliptic Problem ◽  
Robin Boundary Condition ◽  
Convection Term ◽  
Nonlinear Elliptic Problem ◽  
Existence Of A Solution ◽  
Nonlinear Elliptic ◽  
Robin Boundary

The paper investigates a nonlinear elliptic problem with a Robin boundary condition, which exhibits a convection term with full dependence on the solution and its gradient. A sub- supersolution approach is developed for this type of problems. The main result establishes the existence of a solution enclosed in the ordered interval formed by a sub-supersolution. The result is applied to find positive solutions.

scholarly journals On the Existence of Nodal Solutions for a Nonlinear Elliptic Problem on Symmetric Riemannian Manifolds

2010 ◽  
Vol 2010 ◽  
pp. 1-11 ◽  
Author(s):  
Anna Maria Micheletti ◽  
Angela Pistoia
Keyword(s):  
Riemannian Manifold ◽  
Riemannian Manifolds ◽  
Elliptic Problem ◽  
Multiplicity Result ◽  
Nonlinear Elliptic Problem ◽  
Nodal Solutions ◽  
Nonlinear Elliptic ◽  
Sign Changing Solutions

Given thatis a smooth compact and symmetric Riemannian -manifold, , we prove a multiplicity result for antisymmetric sign changing solutions of the problem in . Here if and if .

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