Results 1 to 10 of about 105,214 (328)
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
openalex +3 more sources
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
openalex +3 more sources
Elliptic equations with discontinuous nonlinearities
Topological Methods in Nonlinear Analysis, 1993 Walter Allergretto, Paolo Nistri
openalex +5 more sources
Explicit and exact travelling wave solutions for Hirota equation and computerized mechanization. [PDF]
PLoS ONEBy using the power-exponential function method and the extended hyperbolic auxiliary equation method, we present the explicit solutions of the subsidiary elliptic-like equation.
Bacui Li, Fuzhang Wang, Sohail Nadeem
doaj +2 more sources
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
doaj +3 more sources
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
doaj +1 more source
Nonlinear elliptic differential equations with multivalued nonlinearities [PDF]
Proceedings Mathematical Sciences, 2001 In this paper we study nonlinear elliptic boundary value problems with monotone and nonmonotone multivalued nonlinearities. First we consider the case of monotone nonlinearities. In the first result we assume that the multivalued nonlinearity is defined on all ℝ.
Fiacca A +3 more
openaire +4 more sources
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
doaj +1 more source
A spectral method for nonlinear elliptic equations [PDF]
Numerical Algorithms, 2016 26 pages.
Kendall Atkinson +2 more
openaire +3 more sources
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.
doaj +1 more source