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Semilinear elliptic equations with singular nonlinearities

Calculus of Variations and Partial Differential Equations, 2009
We prove existence, regularity and nonexistence results for problems whose model is $$-\Delta u = \frac{f(x)}{u^{\gamma}}\quad {{\rm in}\,\Omega},$$ with zero Dirichlet conditions on the boundary of an open, bounded subset Ω of \({\mathbb{R}^{N}}\). Here γ > 0 and f is a nonnegative function on Ω.
BOCCARDO, Lucio, ORSINA, Luigi
openaire   +3 more sources

G-convergence and semilinear elliptic equations

Asymptotic Analysis, 1991
We study the behavior of positive solutions of semilinear elliptic equations −div(aε(x)Duε=g(uε) with homogeneous Dirichlet boundary data, with respect to the G-convergence of the elliptic matrices aε. Here the function g has a subcritical or critical growth with respect to Sobolev imbedding.
DALL'AGLIO, Andrea, TCHOU N. A.
openaire   +3 more sources

Semilinear elliptic equations with additive noise

2017
With temporal white noise, the solutions of stochastic parabolic equations have low regularity in time (Holder continuous with exponent 1∕2 −e and e > 0 is arbitrarily small) and thus the spectral approximation of Brownian motion leads to only half order convergence in its truncation mode n.
Zhongqiang Zhang, George Em Karniadakis
openaire   +2 more sources

New Creatinine- and Cystatin C–Based Equations to Estimate GFR without Race

New England Journal of Medicine, 2021
Lesley A Inker   +2 more
exaly  

Generalized bioelectric impedance‐based equations underestimate body fluids in athletes

Scandinavian Journal of Medicine and Science in Sports, 2021
Luís Sardinha   +2 more
exaly  

Some analytical and numerical investigation of a family of fractional‐order Helmholtz equations in two space dimensions

Mathematical Methods in the Applied Sciences, 2020
Hari Mohan Srivastava   +2 more
exaly  

Solving nonlinear fractional partial differential equations using the homotopy analysis method

Numerical Methods for Partial Differential Equations, 2010
Abbas Saadatmandi   +2 more
exaly  

Regularization of Grad’s 13 moment equations: Derivation and linear analysis

Physics of Fluids, 2003
Henning Struchtrup, Manuel Torrilhon
exaly  

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