Results 31 to 40 of about 6,660 (232)
Discounted Hamilton-Jacobi Equations on Networks and Asymptotic Analysis [PDF]
, 2018 We study discounted Hamilton Jacobi equations on networks, without putting any restriction on their geometry. Assuming the Hamiltonians continuous and coercive, we establish a comparison principle and provide representation formulae for solutions.
Pozza, Marco, Siconolfi, Antonio
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Second order $$L_p$$ estimates for subsolutions of fully nonlinear equations [PDF]
Calculus of Variations and Partial Differential EquationsAbstract We obtain new $$L_p$$ L p estimates for subsolutions to fully nonlinear equations. Based on our $$L_p$$
Hongjie Dong, Shuhei Kitano
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Viscosity solutions to degenerate Complex Monge-Amp\`ere equations [PDF]
, 2010 We develop an alternative approach to Degenerate complex Monge-Amp\`ere equations on compact K\"ahler manifolds based on the concept of viscosity solutions and compare systematically viscosity concepts with pluripotential theoretic ones. We generalize to
Alexandrov +34 more
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Optimal consumption problem in the Vasicek model [PDF]
Opuscula Mathematica, 2015 We consider the problem of an optimal consumption strategy on the infinite time horizon based on the hyperbolic absolute risk aversion utility when the interest rate is an Ornstein-Uhlenbeck process.
Jakub Trybuła
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Combined effects in nonlinear singular elliptic problems in a bounded domain
Advances in Nonlinear Analysis, 2012 We establish an existence result of positive solutions to the following boundary value problem:
Chemmam Rym +3 more
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The Parabolic Infinite-Laplace Equation in Carnot groups [PDF]
, 2014 By employing a Carnot parabolic maximum principle, we show existence-uniqueness of viscosity solutions to a class of equations modeled on the parabolic infinite Laplace equation in Carnot groups.
Bieske, Thomas, Martin, Erin
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International Journal of Analysis and Applications, 2023 In this paper, we prove uniform convergence of the standard finite element method for a Schwarz alternating procedure for a class of semi-linear elliptic partial differential equations, in the context of linear iterations and non-matching grids.
Qais Al Farei, Messaoud Boulbrachene
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Mean Values of Subsolutions of Elliptic and Parabolic Equations [PDF]
Transactions of the American Mathematical Society, 1983 Integral averages of weak subsolutions (and supersolutions) in R n {R^n} of quasilinear elliptic and parabolic equations are investigated. The important feature is that these integral averages are defined in terms of measures that reflect interesting geometric phenomena.
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Equivalence of Viscosity and Weak Solutions for the $p(x)$-Laplacian [PDF]
, 2010 We consider different notions of solutions to the $p(x)$-Laplace equation $-\div(\abs{Du(x)}^{p(x)-2}Du(x))=0$ with ...
Acerbi +29 more
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Abstract and Applied Analysis, 2010 We investigate the blowup properties of the positive solutions for a semilinear reaction-diffusion system with nonlinear nonlocal boundary condition.
Dengming Liu, Chunlai Mu
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