EXISTENCE AND MULTIPLICITY RESULTS FOR THE PRESCRIBED MEAN CURVATURE EQUATION VIA LOWER AND UPPER SOLUTIONS

FRANCO OBERSNEL; PIERPAOLO OMARI

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EXISTENCE AND MULTIPLICITY RESULTS FOR THE PRESCRIBED MEAN CURVATURE EQUATION VIA LOWER AND UPPER SOLUTIONS

机译：上下平均方程曲率方程的存在性和多重性结果

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We discuss existence and multiplicity of bounded variation solutions of the mixed problem for the prescribed mean curvature equation where Γ_D is an oopen subset of and Γ_N=ΩΓ_D.Our approach is based on variational techniques and a lower and upper solutions method specially developed for this problem.

机译：对于Γ_D是ωoopen子集且Γ_N=ΩΓ_D的规定平均曲率方程，我们讨论了混合问题的有界变分解的存在性和多重性。我们的方法基于变分技术以及为这个问题。

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来源
《Differential and integral equations》 |2009年第10期|共28页
作者
FRANCO OBERSNEL; PIERPAOLO OMARI;
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原文格式 PDF
正文语种 eng
中图分类 513B0075;
关键词
MULTIPLICITY; MEAN CURVATURE; SOLUTIONS;

机译：多重性;平均曲率;解决方案;

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1. EXISTENCE AND MULTIPLICITY RESULTS FOR THE PRESCRIBED MEAN CURVATURE EQUATION VIA LOWER AND UPPER SOLUTIONS [J] . FRANCO OBERSNEL, PIERPAOLO OMARI Differential and integral equations . 2009,第9a10期

机译：上下平均方程曲率方程的存在性和多重性结果
2. Existence and Uniqueness of Anti-Periodic Solutions for Prescribed Mean Curvature Rayleigh p-Laplacian Equations [J] . Differential equations and dynamical systems . 2020,第1期

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3. New approach for the existence and uniqueness of periodic solutions to p -Laplacian prescribed mean curvature equations [J] . Bo Du, Weigao Ge Boundary value problems . 2016,第1期

机译：p-Laplacian规定平均曲率方程周期解的存在性和唯一性的新方法
4. ON THE LOWER AND UPPER SOLUTION METHOD FOR THE PRESCRIBED MEAN CURVATURE EQUATION IN MINKOWSKI SPACE [C] . Chiara Corsato, Franco Obersnel, Pierpaolo omari AIMS International Conference on Dynamical Systems, Differential Equations and Applications . 2013

机译：在Minkowski空间中规定平均曲率方程的下解决方法
5. Existence and multiplicity results on standing wave solutions of some coupled nonlinear Schrodinger equations. [D] . Tian, Rushun. 2013

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6. Multiplicity and asymptotic behavior of solutions to a class of Kirchhoff-type equations involving the fractional p-Laplacian [O] . Liejun Shen -1

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7. Existence and multiplicity of positive solutions for one-dimensional prescribed mean curvature equations [O] . Yanqiong Lu, Ruyun Ma, Hongliang Gao 2014

机译：一维规定平均曲率方程正解的存在性和多重性

EXISTENCE AND MULTIPLICITY RESULTS FOR THE PRESCRIBED MEAN CURVATURE EQUATION VIA LOWER AND UPPER SOLUTIONS

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