scholarly journals The nodal set of solutions to some elliptic problems: Singular nonlinearities

2019 ◽  
Vol 128 ◽  
pp. 264-296 ◽  
Author(s):  
Nicola Soave ◽  
Susanna Terracini
Keyword(s):  
Elliptic Problems ◽  
Nodal Set ◽  
Singular Nonlinearities

scholarly journals Existence and Regularity of Solutions for Unbounded Elliptic Equations with Singular Nonlinearities

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Aziz Bouhlal ◽  
Jaouad Igbida
Keyword(s):  
Elliptic Equations ◽  
Elliptic Problems ◽  
Regularity Of Solutions ◽  
Singular Nonlinearities

For q , γ > 0 , we study existence and regularity of solutions for unbounded elliptic problems whose simplest model is − div 1 + u q ∇ u = f / u γ in  Ω u = 0 on  ∂ Ω , where f ∈ L m Ω , m ≥ 1 .

scholarly journals Robust Iterative Solvers for Gao Type Nonlinear Beam Models in Elasticity

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
B. Borsos ◽  
János Karátson
Keyword(s):  
Finite Element ◽  
Newton Method ◽  
Newton's Method ◽  
Numerical Experiments ◽  
Elliptic Problems ◽  
Iterative Solvers ◽  
Finite Element Solution ◽  
Element Solution ◽  
Nonlinear Beam ◽  
Quasi Newton

Abstract The goal of this paper is to present various types of iterative solvers: gradient iteration, Newton’s method and a quasi-Newton method, for the finite element solution of elliptic problems arising in Gao type beam models (a geometrical type of nonlinearity, with respect to the Euler–Bernoulli hypothesis). Robust behaviour, i.e., convergence independently of the mesh parameters, is proved for these methods, and they are also tested with numerical experiments.

Multiple solutions for nonlocal elliptic problems with concave–convex nonlinearities and weights

2021 ◽  
pp. 207-218
Author(s):  
Safia Benmansour ◽  
Atika Matallah ◽  
Mustapha Meghnafi
Keyword(s):  
Multiple Solutions ◽  
Elliptic Problems
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