Results 1 to 10 of about 516,813 (372)
Ellipticity and regularity for periodic nonlinear equations [PDF]
Proceedings of the American Mathematical Society, 1969 The composition of two strongly elliptic linear operators with suitably differentiable coefficients is also strongly elliptic. This fact has been used [3, pp. 178-181] to yield a particularly simple proof of the regularity of weak solutions of periodic strongly elliptic linear equations.
Robert Adams
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Elliptic equations with discontinuous nonlinearities
Topological Methods in Nonlinear Analysis, 1993 The paper deals with the existence and nonexistence of positive solutions of nonlinear elliptic equations, with the nonlinear term discontinuous in the unknown function. The authors distinguish between 3 types of solutions. Topological methods -- specifically the degree theory -- are employed to obtain the existence of solutions, either in \(\mathbb{R}^
Walter Allergretto, Paolo Nistri
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On an elliptic equation with concave and convex nonlinearities [PDF]
Proceedings of the American Mathematical Society, 1995 We study the semilinear elliptic equation − Δ u = λ | u | q − 2 u + μ | u |
Thomas Bartsch, Michel Willem
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Semilinear elliptic equations with critical nonlinearities [PDF]
Bulletin of the Australian Mathematical Society, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Elliot Tonkes
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Nonlinear elliptic equations and Gauss measure
Le Matematiche, 2006 We prove existence and regularity results for weak solutions to nonlinear elliptic equations.
Giuseppina Di Blasio, Filomena Feo
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On the numerical solution of some differential equations with nonlocal integral boundary conditions via Haar wavelet [PDF]
Proceedings of the Estonian Academy of Sciences, 2022 Differential equations with nonlocal boundary conditions are used to model a number of physical phenomena encountered in situations where data on the boundary cannot be measured directly. This study explores numerical solutions to elliptic, parabolic and
Imran Aziz +2 more
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Nonlinear theory for coalescing characteristics in multiphase Whitham modulation theory [PDF]
, 2020 The multiphase Whitham modulation equations with $N$ phases have $2N$ characteristics which may be of hyperbolic or elliptic type. In this paper a nonlinear theory is developed for coalescence, where two characteristics change from hyperbolic to elliptic
Bridges, Thomas J., Ratliff, Daniel J.
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Open Physics, 2021 This research paper uses a direct algebraic computational scheme to construct the Jacobi elliptic solutions based on the conformal fractional derivatives for nonlinear partial fractional differential equations (NPFDEs). Three vital models in mathematical
Gepreel Khaled A., Mahdy Amr M. S.
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Nonlinear elliptic differential equations with multivalued nonlinearities [PDF]
Proceedings Mathematical Sciences, 2001 In this work, certain quasilinear elliptic boundary value problems are investigated. Homogeneous Dirichlet boundary condition is always considered. In the first result, assuming that the multivalued monotone nonlinearity \(\beta\) satisfies \(\operatorname {dom}\beta = R\) and the existence of an upper and a lower solution, the existence of a solution ...
Fiacca A +3 more
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Approximation of elliptic and parabolic equations with Dirichlet boundary conditions
Mathematics in Engineering, 2023 We obtain an approximation result of the weak solutions to elliptic and parabolic equations with Dirichlet boundary conditions. We show that the weak solution can be obtained with a limit of approximations by regularizing the nonlinearities and ...
Youchan Kim, Seungjin Ryu, Pilsoo Shin
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