Results 261 to 270 of about 581,251 (325)
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A priori bounds for positive solutions of nonlinear elliptic equations
Communications in Partial Differential Equations, 1981B. Gidas, J. Spruck
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Identification of nonlinear elliptic equations
Applied Mathematics & Optimization, 1996The authors study the identification of the nonlinearities \(a\) and \(b\) in the following boundary value problems: \[ -\text{div}(a(\nabla y))\ni f\quad\text{in }\Omega,\quad y=0\quad\text{on }\partial\Omega \] and \[ -\Delta y+b(y)\ni f\quad\text{in }\Omega,\quad y=0\quad\text{on }\partial\Omega, \] where \(\Omega\) is a bounded domain in \(\mathbb ...
Barbu, V., Kunisch, K.
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Nonlinear Singular Elliptic Equations
Journal of the London Mathematical Society, 1989Let F be a dense vector subspace of a Banach space E, and f be a functional defined on F, in which f is not expected to have any critical point. We extend the variational theory to seek generalized critical points of f in E (not in F). Using these results we find solutions in \(W_ 0^{1,2}(\Omega)\) of the following equation \[ (P)\quad -\Delta u+c=Ke ...
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ON DEGENERATE NONLINEAR ELLIPTIC EQUATIONS
Mathematics of the USSR-Sbornik, 1984Translation from Mat. Sb. Nov. Ser. 120(162), No.3, 311-330 (Russian) (1983; Zbl 0525.35038).
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$$C^{2,\alpha }$$C2,α estimates for nonlinear elliptic equations of twisted type
, 2015We prove a priori interior $$C^{2,\alpha }$$C2,α estimates for solutions of fully nonlinear elliptic equations of twisted type. For example, our estimates apply to equations of the type convex + concave.
Tristan C. Collins
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Nonlinear Elliptic Equations with Mixed Singularities
Potential Analysis, 2017This paper deals with the mathematical analysis of a class of non-variational degenerate elliptic equations with mixed singular structures. A feature of the paper under review is that the singular structure arises both at the set of critical points and on the ground touching points. The main result of this paper establishes that positive solutions have
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1996
Methods of the calculus of variations applied to problems in geometry and classical continuum mechanics often lead to elliptic PDE that are not linear. We discuss a number of examples and some of the developments that have arisen to treat such problems.
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Methods of the calculus of variations applied to problems in geometry and classical continuum mechanics often lead to elliptic PDE that are not linear. We discuss a number of examples and some of the developments that have arisen to treat such problems.
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ON DEGENERATE NONLINEAR ELLIPTIC EQUATIONS. II
Mathematics of the USSR-Sbornik, 1984zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonlinear elliptic equations with singular nonlinearities
Asymptotic Analysis, 2013In this paper we study nonlinear elliptic boundary value problems with singular nonlinearities whose simplest example is −div (|∇u|p−2∇u)=f/uγ in Ω, u=0 on ∂Ω, where Ω is a bounded open set in RN (N≥2), γ>0 ...
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