Results 131 to 140 of about 564 (167)

Regularity for quasilinear degenerate elliptic equations

Mathematische Zeitschrift, 2006
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DI FAZIO, Giuseppe, ZAMBONI, Pietro
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Weak regularity of degenerate elliptic equations

Lobachevskii Journal of Mathematics, 2017
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Gol'dshtein, V., Ukhlov, A.
openaire   +1 more source

A strongly degenerate quasilinear elliptic equation

Nonlinear Analysis: Theory, Methods & Applications, 2005
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Andreu, F., Caselles, V., Mazón, J. M.
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Existence of solutions for nonlinear elliptic degenerate equations

Nonlinear Analysis: Theory, Methods & Applications, 2003
The authors study the following nonlinear elliptic problem: \[ -\operatorname{div} a(x,u,b\nabla u)- \operatorname{div}\varphi(u)+g(x,u)=f \quad\text{in } \Omega, \qquad u=0 \quad\text{on } \partial\Omega, \tag{1} \] where \(g(x,t)\) is the Carathéodory function such that for a.e. \(x\in\Omega\) and all \(t\in\mathbb R\), \(g(x,t)t\geq 0\). The goal of
Benkirane, A., Bennouna, J.
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Degenerate Parabolic and Elliptic Equations

1994
The region where the equation deteriorates is fixed for linear and semilinear degenerate equations. The cases usually discussed are that the degenerate region is on the boundary. The two approaches are often used. One is the barrier argument and another is introducing the weighted Sobolev spaces.
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Degenerate Elliptic Equations and Boundary Problems

1994
A differential operator A on a manifold Ω is called elliptic if its principal symbol A 0(x,ξ) does not vanish on T*0 (Ω) (see Egorov, Shubin 1988, Sect. 1). If Ω is a closed manifold and the order of the operator is m, then for any s ∈ ℝ1 it is a Fredholm H s+m(Ω) → H s(Ω) and the following a priori estimate holds: $${\left\| u \right\|_s}c(s)\left(
S. Z. Levendorskij, B. Paneah
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Solvability of degenerate quasilinear elliptic equations

Nonlinear Analysis: Theory, Methods & Applications, 1996
The existence of weak solutions for degenerate elliptic boundary value problems is studied for the equation \[ - \sum^n_{i= 1} {\partial\over \partial x_i} a_i(x, u, \nabla u)+ \nu_0(x)|u|^{p- 2} u+ f(x, u, \nabla u)= 0.\tag{1} \] This equation is a generalization of equations of Klein-Gordon or Schrödinger type.
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Degenerate elliptic equations and sum operators

2020
This Chapter is devoted to a new kind of degenerate elliptic operator. It is shown that it is possible to derive a regularity theory for this class. Despite the strong degeneracy of the operator, the smoothness of the generalized solutions can be proved.
Maria, Fanciullo, Pietro, Zamboni, Giuseppe, Di. Fazio   +2 more
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On Degenerating Elliptic Equations

Theory of Probability & Its Applications, 1969
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DEGENERATE ELLIPTIC EQUATIONS

Bulletin of the London Mathematical Society, 1995
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