Results 301 to 310 of about 428,921 (359)
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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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Complex Variables and Elliptic Equations, 2020
This article is devoted to the study of a class of nonlinear anisotropic elliptic equations with degenerate coercivity, lower order term and datum in appropriate anisotropic variable exponent Sobolev space.
Hocine Ayadi, F. Mokhtari
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This article is devoted to the study of a class of nonlinear anisotropic elliptic equations with degenerate coercivity, lower order term and datum in appropriate anisotropic variable exponent Sobolev space.
Hocine Ayadi, F. Mokhtari
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On a Nonlinear Elliptic Equation with Periodic Coefficients
SIAM Journal on Applied Mathematics, 1981Homogenization is applied to a mildly nonlinear equation which arises in chemical kinetics. The method of multiple scales is used to get the homogenized equation, and the convergence is proved using the energy method.
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Solvability of an Elliptic Equation with a Gradient Nonlinearity
Differential Equations, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The elliptic-in-t solutions of the nonlinear Schrödinger equation
Theoretical and Mathematical Physics, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Second order estimates for Hessian type fully nonlinear elliptic equations on Riemannian manifolds
, 2014We derive a priori estimates for second order derivatives of solutions to a wide class of fully nonlinear elliptic equations on Riemannian manifolds. There had been significant work in this direction, especially in connection with important geometric ...
Bo Guan, H. Jiao
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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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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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An elliptic equation with singular nonlinearity
Communications in Partial Differential Equations, 1987The purpose of this paper is to study the problem (P) −Δu+u−α=f in Ω, u=0 on ∂Ω, u−α∈L1(Ω), u>0 in Ω, where Ω is a bounded smooth open set of RN, f≥0, f∈L1(Ω) and ...
J. I. Diaz, J.M. Morel, L. Oswald
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Fully nonlinear elliptic and parabolic equations in weighted and mixed-norm Sobolev spaces
Calculus of Variations and Partial Differential Equations, 2018We present the first to date weighted and mixed-norm Sobolev estimates for fully nonlinear elliptic and parabolic equations in the whole space under a relaxed convexity condition with almost VMO dependence on space-time variables.
Hongjie Dong, N. Krylov
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