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Semilinear elliptic equations on fractal sets
Acta Mathematica Scientia, 2009In this article, the authors consider a class of semilinear elliptic equations on fractal sets under some new conditions, which are more weaker than those in usual cases. The authors get the non-trivial and non-negative solution of the zero boundary Dirichlet problem using Mountain Pass Lemma.
Chen Hua, He Zhenya
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Singular solutions of semilinear elliptic equations
2011 3rd International Conference on Computer Research and Development, 2011In this paper, we study the singular solutions of semilinear elliptic equations. We use the method of moving spheres to prove the symmetry and nonexistence of singular positive solutions.
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A class of semilinear elliptic equations on groups of polynomial growth
Journal of Differential Equations, 2023Bobo Hua, Ruowei Li, Lidan Wang
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Local and parallel multigrid method for semilinear elliptic equations
Applied Numerical Mathematics, 2021Fei Xu, Qiumei Huang
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Inverse problems for fractional semilinear elliptic equations
Nonlinear Analysis: Theory, Methods & Applications, 2022Ru-Yu Lai, Yi-Hsuan Lin
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Boundary Control of Semilinear Elliptic Equations with Pointwise State Constraints
SIAM Journal on Control and Optimization, 1993Eduardo Casas
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Optimal Control of Semilinear Elliptic Equations in Measure Spaces
SIAM Journal on Control and Optimization, 2014Eduardo Casas, Karl Kunisch
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