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Titlebook: Nonlinear Diffusion Equations and Their Equilibrium States, 3; Proceedings from a C N. G. Lloyd,W. M. Ni,J. Serrin Conference proceedings 1

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Positive Solutions of Emden Equations in Cone-Like Domains,∶ ./|.| ∈ Ω. Consider the nonlinear Dirichlet problem where δ ∈ ℝ and . >1. We shall be interested in . classical solutions. They might be discontinuous at the origin, and in this case they will be called . solutions and will be denoted by us, in contrast to the . solutions . ∈ ..(C) ∩ ..(C ∪ ∂.), .
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A Parabolic Equation with a Mean-Curvature Type Operator,eracy for large gradients. The same type of operators arises also in thermodynamical context in the theory of convex free energy functionals, which are asymptotically linear as the gradient tends to infinity [12]; in particular this leads to the parabolic equation .. = . [6]. Observe that here . is
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An Existence Result Via ,, Regularity for Some Nonlinear Elliptic Equations,ual, ϕℝ → ℝ. is a continuous function satisfying |ϕ(.)| ≤ c.(1 + |.|.) and .(.) belongs to (..(Ω)).. When and 0 ≤ γ ≤ [q(p-1)]*, we prove the existence of a solution u which belongs to. This .. -regularity result (which implies that ϕ(.) belongs to L.(Ω)).) is an important step in the proof of the e
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Identifying a Time Dependent Unknown Coefficient in a Nonlinear Heat Equation,al equation. The trace type functional problem can be solved in a relatively straightforward manner and the solution shown to lead to a solution for the inverse problem. This approach allows us to investigate the inverse problem with various alternative overspecified conditions.
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The Structure of Solutions near an Extinction Point in a Semilinear Heat Equation with Strong Absor0 at a time . = .. By means of formal methods, we derive a family of asymptotic expansions for solutions and interface curves (these last separating the regions where . = 0 and .> 0), as (.,.) approaches (0,.).
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Logico-Mathematical Preliminaries,s. Namely, we account for driver hours of service regulations, time-dependent travel times, time-dependent fuel consumption and refueling deviations. The latter stems from the fact that we consider non homogeneous fuel prices at refueling stations. Considering a given origin and destination along wi
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