scholarly journals Mixed elliptic problems involving the \begin{document}$p-$\end{document}Laplacian with nonhomogeneous boundary conditions

2017 ◽  
Vol 37 (11) ◽  
pp. 5797-5817 ◽  
Author(s):  
Gabriele Bonanno ◽  
◽  
Giuseppina D'Aguì
Keyword(s):  
Boundary Conditions ◽  
Elliptic Problems ◽  
Nonhomogeneous Boundary ◽  
Nonhomogeneous Boundary Conditions

scholarly journals Renormalized solutions for some nonlinear nonhomogeneous elliptic problems with Neumann boundary conditions and right hand side measure

2021 ◽  
Vol 39 (6) ◽  
pp. 81-103
Author(s):  
Elhoussine Azroul ◽  
Mohamed Badr Benboubker ◽  
Rachid Bouzyani ◽  
Houssam Chrayteh
Keyword(s):  
Boundary Conditions ◽  
Radon Measure ◽  
Elliptic Problems ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
Measure Data ◽  
Renormalized Solutions ◽  
Renormalized Solution ◽  
Nonhomogeneous Boundary ◽  
Nonhomogeneous Boundary Conditions

Our aim in this paper is to study the existence of renormalized solution for a class of nonlinear p(x)-Laplace problems with Neumann nonhomogeneous boundary conditions and diuse Radon measure data which does not charge the sets of zero p(.)-capacity

Travelling peakon and solitary wave solutions of modified Fornberg–Whitham equations with nonhomogeneous boundary conditions

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
İhsan Çelikkaya
Keyword(s):  
Solitary Wave ◽  
Boundary Conditions ◽  
Numerical Solutions ◽  
Test Problems ◽  
Von Neumann ◽  
Nonhomogeneous Boundary ◽  
Whitham Equations ◽  
Fourier Series Method ◽  
Nonhomogeneous Boundary Conditions ◽  
The Stability

Abstract In this study, the numerical solutions of the modified Fornberg–Whitham (mFW) equation, which describes immigration of the solitary wave and peakon waves with discontinuous first derivative at the peak, have been obtained by the collocation finite element method using quintic trigonometric B-spline bases. Although there are solutions of this equation by semi-analytical and analytical methods in the literature, there are very few studies on the solution of the equation by numerical methods. Any linearization technique has not been used while applying the method. The stability analysis of the applied method is examined by the von-Neumann Fourier series method. To show the performance of the method, we have considered three test problems with nonhomogeneous boundary conditions having analytical solutions. The error norms L 2 and L ∞ are calculated to demonstrate the accuracy and efficiency of the presented numerical scheme.

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