Results 41 to 50 of about 2,594 (170)
Positive Solutions of Elliptic Kirchhoff Equations
Advanced Nonlinear Studies, 2017 We prove several existence results for some nonlinear elliptic Kirchhoff equations.
Ambrosetti Antonio, Arcoya David
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Nonlinear Stability for Dissipative Nonlinear Evolution Equations with Ellipticity
Journal of Mathematical Analysis and Applications, 1999 The paper deals with the coupled system \[ \psi_t=-(1-\alpha)\psi-\sigma \theta_x +\alpha\psi_{xx}, \] \[ \theta_t=-(1-\alpha)\theta+\nu \psi_x +2\psi \theta_{x}+\alpha\theta_{xx}, \] where \(\alpha\) and \(\nu\) are positive numbers. This set of equations singles out the essential mechanism of nonlinear interaction between ellipticity and dissipation.
Tang, Shaoqiang, Zhao, Huijiang
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Electronic Journal of Differential Equations, 2002 Using the maximum principle for semicontinuous functions [3,4], we prove a general ``continuous dependence on the nonlinearities'' estimate for bounded Holder continuous viscosity solutions of fully nonlinear degenerate elliptic equations.
Espen R. Jakobsen, Kenneth H. Karlsen
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Maximum principles for viscosity solutions of weakly elliptic equations
Bruno Pini Mathematical Analysis Seminar, 2019 Maximum principles play an important role in the theory of elliptic equations. In the last decades there have been many contributions related to the development of fully nonlinear equations and viscosity solutions.
Antonio Vitolo
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survey on boundary regularity for the fractional p-Laplacian and its applications
Bruno Pini Mathematical Analysis SeminarWe survey some recent regularity results for fractional p-Laplacian elliptic equations, especially focusing on pure and weighted boundary Hölder continuity of the solutions of related Dirichlet problems. Then, we present some applications of such results
Antonio Iannizzotto
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Advances in Mathematical Physics, 2021 In this paper, the dynamical properties and the classification of single traveling wave solutions of the coupled nonlinear Schrödinger equations with variable coefficients are investigated by utilizing the bifurcation theory and the complete ...
Zhao Li, Peng Li, Tianyong Han
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Uniqueness of Solutions to a Nonlinear Elliptic Hessian Equation [PDF]
Journal of Applied Mathematics, 2016 Through an Alexandrov-Fenchel inequality, we establish the general Brunn-Minkowski inequality. Then we obtain the uniqueness of solutions to a nonlinear elliptic Hessian equation onSn.
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NONLINEAR ELLIPTIC EQUATIONS WITH SINGULAR REACTION
Osaka Journal of Mathematics, 2016 We study a nonlinear elliptic equation with a singular term and a continuous perturbation. We look for positive solutions. We prove three multiplicity theorems producing at least two positive solutions. The first multiplicity theorem concerns equations driven by a nonhomogeneous in general differential operator.
Papageorgiou, Nikolaos S +1 more
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Nonlinear elliptic equations with lower-order terms
Differential and Integral Equations, 2001 We prove regularity results for solutions of nonlinear elliptic equations containing a term which grows as $ |u|^\sigma$, $ \sigma>0$, and satisfies a "sign condition." The source term is supposed to be in $ L^1$.
ALVINO, ANGELO +2 more
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Generalized Keller-Osserman Conditions for Fully Nonlinear Degenerate Elliptic Equations
Современная математика: Фундаментальные направления, 2018 We discuss the existence of entire (i.e. defined on the whole space) subsolutions of fully nonlinear degenerate elliptic equations, giving necessary and sufficient conditions on the coefficients of the lower order terms which extend the classical Keller ...
I Capuzzo Dolcetta, F Leoni, A Vitolo
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