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Nonlinear elliptic and parabolic equations
Journal of Soviet Mathematics, 1979Results of recent years are presented on the theory of nonlinear elliptic and parabolic equations of any order including equations of infinite order.
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On a singular nonlinear elliptic equation
Nonlinear Analysis: Theory, Methods & Applications, 1997The author studies the existence of positive solutions \(u\in C^2(B_R)\cap C^1(\overline B_R)\) of the following singular Dirichlet problem: \[ u^\alpha(\Delta u+u)- u/\alpha= 0,\quad x\in B_R,\quad u(x)=0,\quad x\in \partial B_R.
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Elliptic solutions of nonlinear equations
Theoretical and Mathematical Physics, 1990From the introduction: Methods of the finite-gap integration enable to find exact solutions to many equations of mathematical physics (Korteweg--de Vries, Kadomtsev-Petviashvili, etc.), which can be expressed by means of theta-functions of algebraic curves.
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Nonlinear equations and elliptic curves
Journal of Soviet Mathematics, 1985This paper deals with the algebro-geometric or finite zone solution of noninear equations which can be written as zero curvature equation \(U_ t-V_ x+[U,V]=0\), where U(x,t,\(\lambda)\) and V(x,t,\(\lambda)\) are two matrices and the parameter \(\lambda\) is defined on elliptic curves. The author presents the main idea of global finite-zone integration
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Nonlinear elliptic equations for measures
Doklady Mathematics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
, 1983H. Brezis, L. Nirenberg
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Global and local behavior of positive solutions of nonlinear elliptic equations
, 1981B. Gidas, J. Spruck
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Colloidal Self-Assembly Approaches to Smart Nanostructured Materials
Chemical Reviews, 2022Zhiwei Li Li, Yadong Yin
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New Creatinine- and Cystatin C–Based Equations to Estimate GFR without Race
New England Journal of Medicine, 2021Lesley A Inker +2 more
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