Results 1 to 10 of about 581,251 (325)

Global Lorentz estimates for nonuniformly nonlinear elliptic equations via fractional maximal operators [PDF]

Journal of Mathematical Analysis and Applications, 2020
This paper is a contribution to the study of regularity theory for nonlinear elliptic equations. The aim of this paper is to establish some global estimates for non-uniformly elliptic in divergence form as follows \begin{align*} -\mathrm{div}(|\nabla u|^{
Minh‐Phuong Tran, Thanh‐Nhan Nguyen
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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, Muhammad Nisar, Siraj ul-Islam   +2 more
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Nonlinear differential-difference equations of elliptic and parabolic type and their applications to nonlocal problems

Современная математика: Фундаментальные направления, 2023
In this survey, we study boundary-value problems for nonlinear differential-difference equations of elliptic and parabolic types, as well as related nonlinear equations with nonlocal boundary conditions.
O. V. Solonukha
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Regularity for solutions of fully nonlinear elliptic equations with nonhomogeneous degeneracy [PDF]

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2019
We prove that viscosity solutions to fully nonlinear elliptic equations with degeneracy of double phase type are locally C1, γ-regular.
C. Filippis
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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, Matzakos N, Papageorgiou NS, SERVADEI, RAFFAELLA   +3 more
openaire   +3 more sources

Algebraic computational methods for solving three nonlinear vital models fractional in mathematical physics

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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Regularity of solutions to a class of variable–exponent fully nonlinear elliptic equations [PDF]

Journal of Functional Analysis, 2018
In the present paper, we propose the investigation of variable-exponent, degenerate/singular elliptic equations in non-divergence form. This current endeavor parallels the by now well established theory of functionals satisfying nonstandard growth ...
Anne C. Bronzi, Edgard A. Pimentel, G. Rampasso, E. Teixeira   +3 more
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Regularity for Fully Nonlinear Elliptic Equations with Oblique Boundary Conditions [PDF]

Archive for Rational Mechanics and Analysis, 2017
In this paper, we obtain a series of regularity results for viscosity solutions of fully nonlinear elliptic equations with oblique derivative boundary conditions. In particular, we derive the pointwise Cα, C1,α and C2,α regularity. As byproducts, we also
Dongsheng Li, Kai Zhang
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C1, regularity for fully nonlinear elliptic equations with superlinear growth in the gradient [PDF]

Journal des Mathématiques Pures et Appliquées, 2018
We extend the Caffarelli-Świech-Winter C 1 , α regularity estimates to L p -viscosity solutions of fully nonlinear uniformly elliptic equations in nondivergence form with superlinear growth in the gradient and unbounded coefficients.
Gabrielle Nornberg
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Periodic and Solitary Wave Solutions for the One-Dimensional Cubic Nonlinear Schrödinger Model

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
Using a similar approach as Korteweg and de Vries, [19], we obtain periodic solutions expressed in terms of the Jacobi elliptic function cn, [3], for the self-focusing and defocusing one-dimensional cubic nonlinear Schrödinger equations.
Bica Ion, Mucalica Ana
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