Some results concerning the Poisson-Boltzmann equation
A. Krzywicki, T. Nadzieja (1991)
Applicationes Mathematicae
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A. Krzywicki, T. Nadzieja (1991)
Applicationes Mathematicae
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Martin Dindos, Marius Mitrea (2002)
Publicacions Matemàtiques
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Extending recent work for the linear Poisson problem for the Laplacian in the framework of Sobolev-Besov spaces on Lipschitz domains by Jerison and Kenig [16], Fabes, Mendez and Mitrea [9], and Mitrea and Taylor [30], here we take up the task of developing a similar sharp theory for semilinear problems of the type Δu - N(x,u) = F(x), equipped with Dirichlet and Neumann boundary conditions.
Nikos Zygouras (2009)
Annales de l'I.H.P. Analyse non linéaire
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Ma, Ruyun, An, Yulian (2005)
Boundary Value Problems [electronic only]
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Weihua Geng (2015)
Molecular Based Mathematical Biology
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Numerically solving the Poisson-Boltzmann equation is a challenging task due to the existence of the dielectric interface, singular partial charges representing the biomolecule, discontinuity of the electrostatic field, infinite simulation domains, etc. Boundary integral formulation of the Poisson-Boltzmann equation can circumvent these numerical challenges and meanwhile conveniently use the fast numerical algorithms and the latest high performance computers to achieve combined improvement...
Anton Arnold, Elidon Dhamo, Chiara Manzini (2007)
Annales de l'I.H.P. Analyse non linéaire
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Gupta, Chaitan P., Trofimchuk, Sergei (2000)
Journal of Inequalities and Applications [electronic only]
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Sun, Yongping, Zhang, Xiaoping (2007)
Boundary Value Problems [electronic only]
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