Results 71 to 80 of about 186 (147)
Existence and comparison results for variational-hemivariational inequalities
Journal of Inequalities and Applications, 2005 We consider a prototype of quasilinear elliptic variational-hemivariational inequalities involving the indicator function of some closed convex set and a locally Lipschitz functional.
Carl S
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Least Supersolution Approach to Regularizing Free Boundary Problems [PDF]
Archive for Rational Mechanics and Analysis, 2008 In the interesting paper under review, the author studies a free boundary problem obtained as a limit for \(\varepsilon \to 0\) of the regularizing family of semilinear elliptic equations \(\Delta u = \beta_\varepsilon(u) F(\nabla u)\), where \(\beta _\varepsilon\) approximates the Dirac delta function at the origin and \(F\) is a Lipschitz continuous ...
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Unbounded Supersolutions of Nonlinear Equations with Nonstandard Growth
Boundary Value Problems, 2007 We show that every weak supersolution of a variable exponent -Laplace equation is lower semicontinuous and that the singular set of such a function is of zero capacity if the exponent is logarithmically Hölder continuous.
Kinnunen Juha +2 more
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Discrete sub- and supersolutions method
, 2021 This thesis develops the discrete sub- and supersolutions method and applies it to prove the convergence of the nonlinear finite element method applied to the generalized di usive logistic equation......
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An elementary proof of the Harnack inequality for non-negative infinity-superharmonic functions
Electronic Journal of Differential Equations, 2001 We present an elementary proof of the Harnack inequality for non-negative viscosity supersolutions of $Delta_{infty}u=0$. This was originally proven by Lindqvist and Manfredi using sequences of solutions of the $p$-Laplacian.
Tilak Bhattacharya
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Compatibility of state constraints and dynamics for multiagent control systems. [PDF]
J Evol Equ, 2021 Cavagnari G, Marigonda A, Quincampoix M.
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Optimal treatment strategies to control acute HIV infection. [PDF]
Infect Dis Model, 2021 Ahmed S, Rahman S, Kamrujjaman M.
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Existence and comparison results for quasilinear evolution hemivariational inequalities
Electronic Journal of Differential Equations, 2004 We generalize the sub-supersolution method known for weak solutions of single and multivalued nonlinear parabolic problems to quasilinear evolution hemivariational inequalities.
Siegfried Carl +2 more
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Multiple solutions of nonlinear fractional elliptic equations via Morse theory
Electronic Journal of Differential Equations, 2017 This article concerns the existence and multiplicity of weak solutions of the nonlinear fractional elliptic problem. We extend some well known results of semilinear Laplacian equations to the nonlocal fractional setting. Using the variational methods
Wei Qi, Lin Zhao, Xingjie Yan
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Abstract and Applied Analysis, 2019 We define and study C1-solutions of the Aronsson equation (AE), a second order quasi linear equation. We show that such super/subsolutions make the Hamiltonian monotone on the trajectories of the closed loop Hamiltonian dynamics. We give a short, general
Pierpaolo Soravia
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