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ON POSITIVE SOLUTIONS OF ELLIPTIC EQUATIONS
Mathematics of the USSR-Sbornik, 1971In this paper the authors study weak solutions of elliptic equations of the form in a bounded domain . It is assumed known about these solutions either that they are positive, or that estimates in certain norms hold for their negative parts. It is assumed moreover that an estimate on the -norm of the solution holds on some subdomain .
T G Pletneva +2 more
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Regularity and positivity of the solution
2017In this section we show a regularity result1 that allows us to say that a nonnegative solution to (2.1.1) is bounded.
María Medina +2 more
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Symmetry-breaking at positive solutions
ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1987Boundary value problems of the type \[ (*)\quad \Delta w(x)+f(w(x),\lambda)=0,\quad x\in \Omega;\quad w(x)=0,\quad x\in \partial \Omega, \] are considered, where \(f: {\mathbb{R}}\times {\mathbb{R}}\to {\mathbb{R}}\) is a smooth function, \(\Omega =\{x\in {\mathbb{R}}^ n\); \(\| x\| 0\) for all \(x\in \Omega\) then \(w_ 0\) is spherically symmetric. It
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Positive solutions for a Dirichlet problem
Acta Mathematicae Applicatae Sinica, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Accelerated dynamical approaches for finding the unique positive solution of KS-tensor equations
Numer. Algorithms, 2021Xuezhong Wang +3 more
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, 2016 Positive solution for nonhomogeneous sublinear fractional equations in
, 2018Teresa Isernia
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