Multiple solutions for an elliptic system with indefinite Robin boundary conditions

2017 ◽  
Vol 8 (1) ◽  
pp. 603-614 ◽  
Author(s):  
Pablo Amster
Keyword(s):  
Boundary Condition ◽  
Elliptic System ◽  
Multiple Solutions ◽  
Robin Boundary Condition ◽  
Robin Boundary Conditions ◽  
Precise Calculation ◽  
Scalar Operator ◽  
Point Operator ◽  
Robin Boundary ◽  
Linear Scalar

Abstract Multiplicity of solutions is proved for an elliptic system with an indefinite Robin boundary condition under an assumption that links the linearisation at 0 and the eigenvalues of the associated linear scalar operator. Our result is based on a precise calculation of the topological degree of a suitable fixed point operator over large and small balls.

scholarly journals Multiple solutions to a quasilinear Schrödinger equation with Robin boundary condition

2020 ◽  
Vol 5 (4) ◽  
pp. 3825-3839
Author(s):  
Yin Deng ◽  
◽  
Gao Jia ◽  
Fanglan Li ◽  
◽  
...  
Keyword(s):  
Boundary Condition ◽  
Multiple Solutions ◽  
Robin Boundary Condition ◽  
Dinger Equation ◽  
Robin Boundary

scholarly journals A Lyapunov-Type Inequality for a Fractional Differential Equation under a Robin Boundary Condition

2015 ◽  
Vol 2015 ◽  
pp. 1-5 ◽  
Author(s):  
Mohamed Jleli ◽  
Lakhdar Ragoub ◽  
Bessem Samet
Keyword(s):  
Differential Equation ◽  
Boundary Condition ◽  
Fractional Differential Equations ◽  
Type Inequality ◽  
Robin Boundary Condition ◽  
Robin Boundary Conditions ◽  
Real Zeros ◽  
Fractional Differential ◽  
Robin Boundary ◽  
Lyapunov Type Inequality

We establish a new Lyapunov-type inequality for a class of fractional differential equations under Robin boundary conditions. The obtained inequality is used to obtain an interval where a linear combination of certain Mittag-Leffler functions has no real zeros.

scholarly journals Numerical Solution of Heat Equation with Singular Robin Boundary Condition

2018 ◽  
Vol 19 (2) ◽  
pp. 209
Author(s):  
German Lozada-Cruz ◽  
Cosme Eustaquio Rubio-Mercedes ◽  
Junior Rodrigues-Ribeiro
Keyword(s):  
Differential Equation ◽  
Boundary Condition ◽  
Numerical Solution ◽  
Dirichlet Boundary ◽  
Robin Boundary Condition ◽  
Robin Boundary Conditions ◽  
Positive Parameter ◽  
One Dimensional ◽  
Small Positive Parameter ◽  
Robin Boundary

In this work we study the numerical solution of one-dimensional heatdiffusion equation with a small positive parameter subject to Robin boundary conditions. The simulations examples lead us to conclude that the numerical solutionsof the differential equation with Robin boundary condition are very close of theanalytic solution of the problem with homogeneous Dirichlet boundary conditionswhen tends to zero

scholarly journals Solutions for parametric double phase Robin problems

2021 ◽  
Vol 121 (2) ◽  
pp. 159-170 ◽  
Author(s):  
Nikolaos S. Papageorgiou ◽  
Calogero Vetro ◽  
Francesca Vetro
Keyword(s):  
Boundary Condition ◽  
Existence Theorems ◽  
Robin Boundary Condition ◽  
Phase Problem ◽  
Double Phase ◽  
Robin Boundary ◽  
Double Phase Problem

We consider a parametric double phase problem with Robin boundary condition. We prove two existence theorems. In the first the reaction is ( p − 1 )-superlinear and the solutions produced are asymptotically big as λ → 0 + . In the second the conditions on the reaction are essentially local at zero and the solutions produced are asymptotically small as λ → 0 + .

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