Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch) [PDF]
, 2010 An auxiliary elliptic equation method is presented for constructing exact solitary and periodic travelling-wave solutions of the K(2, 2) equation (defocusing branch). Some known results in the literature are recovered more efficiently, and some new exact
Cao, J. +4 more
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Mesh-based numerical implementation of the localized boundary-domain integral equation method to a variable-coefficient Neumann problem [PDF]
, 2005 An implementation of the localized boundary-domain integral-equation (LBDIE) method for the numerical solution of the Neumann boundary-value problem for a second-order linear elliptic PDE with variable coefficient is discussed.
Mikhailov, SE, Nakhova, IS
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Elliptic Equations with Degenerate Weights
SIAM Journal on Mathematical Analysis, 2022 We obtain new local Calderon-Zygmund estimates for elliptic equations with matrix-valued weights for linear as well as non-linear equations. We introduce a novel log-BMO condition on the weight M. In particular, we assume smallness of the logarithm of the matrix-valued weight in BMO. This allows to include degenerate, discontinuous weights.
Anna Kh. Balci +3 more
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Supercritical Elliptic Equations [PDF]
Advanced Nonlinear Studies, 2012 Abstract For an elliptic model equation with supercritical power non-linearity we give a complete description of radial solutions and discuss self-similar blow-up solutions.
Rupflin, M, Struwe, M
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The numerical solution of elliptic and parabolic partial differential equations with boundary singularities [PDF]
, 1976 A general numerical method is described for the solution of linear elliptic and parabolic partial differential equations in the presence of boundary singularities.
Furzeland, RM, Crank, J
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Mathieu Equation and Elliptic Curve [PDF]
Communications in Theoretical Physics, 2012 12 pages; minor improvement of the Conclusion section, references ...
He, Wei, Miao, Yan-Gang
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Localized direct boundary–domain integro–differential formulations for scalar nonlinear boundary-value problems with variable coefficients [PDF]
, 2005 Mixed boundary-value Problems (BVPs) for a second-order quasi-linear elliptic partial differential equation with variable coefficients dependent on the unknown solution and its gradient are considered.
Mikhailov, SE
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An elliptic equation on n-dimensional manifolds [PDF]
, 2021 We consider an elliptic equation driven by a p-Laplacian-like operator, on an n-dimensional Riemannian manifold. The growth condition on the right-hand side of the equation depends on the geometry of the manifold.
Vetro C.
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(Revised) The numerical solution of elliptic and parabolic partial differential equations with boundary singularities [PDF]
, 1977 A general numerical method is described for the solution of linear elliptic and parabolic partial differential equations in the presence of boundary singularities.
Furzeland, RM, Crank, J
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On a Singular Elliptic Equation [PDF]
Proceedings of the American Mathematical Society, 1983 In this paper, we study the singular elliptic equation L u + K ( x
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