EXISTENCE OF SOLUTIONS TO RESONANT ELLIPTIC BOUNDARY VALUE PROBLEMS WITH UNBOUNDED DISCONTINUOUS NONLINEARITIES

M. G. Lepchinski

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EXISTENCE OF SOLUTIONS TO RESONANT ELLIPTIC BOUNDARY VALUE PROBLEMS WITH UNBOUNDED DISCONTINUOUS NONLINEARITIES

机译：具有无界不连续非线性的共振椭圆型边值问题的解的存在性

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摘要

We consider the situation when a resonant elliptic boundary value problem with an unbounded discontinuous nonlinearity is an idealization of a distributed system with continuous nonlinearities with respect to the phase variable and possessing narrow regions in the phase variable domain where the changes of nonlinear parameters are intractable. We study the existence of solutions to problems of this type.

机译：我们考虑这样一种情况，即具有无限无穷不连续非线性的共振椭圆边值问题是一个相对于相位变量具有连续非线性并且在相位变量域中具有狭窄区域的分布系统的理想化，其中非线性参数的变化是难以解决的。我们研究了这类问题的解决方案的存在。

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来源
《Siberian Mathematical Journal 》 |2011年第3期| 共14页
作者
M. G. Lepchinski;
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正文语种 eng
中图分类数学 ;
关键词
resonant elliptic problem; discontinuous nonlinearities; sublinear growth; Landesman Lazer conditions; variational method;

机译：共振椭圆问题;间断非线性;亚线性增长;Landesman Lazer条件;变分方法;

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专利

1. EXISTENCE OF SOLUTIONS TO RESONANT ELLIPTIC BOUNDARY VALUE PROBLEMS WITH UNBOUNDED DISCONTINUOUS NONLINEARITIES [J] . M. G. Lepchinski Siberian Mathematical Journal . 2011 ,第3期

机译：具有无界不连续非线性的共振椭圆型边值问题的解的存在性
2. On the Existence of Three Nontrivial Solutions of a Resonance Elliptic Boundary Value Problem with a Discontinuous Nonlinearity [J] . Pavlenko V. N., Potapov D. K. Differential equations: A translation of differensial'nye uraveniya . 2020 ,第7期

机译：在不连续的非线性存在共振椭圆边值问题的三个非竞争解的存在
3. Existence of three nontrivial solutions of an elliptic boundary-value problem with discontinuous nonlinearity in the case of strong resonance [J] . Pavlenko V. N., Potapov Dmitriy K. Mathematical notes . 2017 ,第1a2期

机译：强烈共振情况下具有不连续非线性的椭圆型边值问题的三个非平凡解的存在性
4. EXISTENCE AND MULTIPLICITY OF SOLUTIONS IN FOURTH ORDER BVPS WITH UNBOUNDED NONLINEARITIES [C] . Feliz Minhos, JOAO FlALHO AIMS International Conference on Dynamical Systems, Differential Equations and Applications . 2013

机译：具有无界非线性的第四阶BVP中的解决方案存在和多重性
5. On the existence of positive solutions of quasilinear elliptic boundary value problems. [D] . Kim, Eun Heui. 1999

机译：关于拟线性椭圆边值问题的正解的存在性。
6. Pseudo-monotone operators and nonlinear elliptic boundary value problems on unbounded domains [O] . Felix E. Browder 1977

机译：无界域上的伪单调算子和非线性椭圆边值问题
7. Existence and Concentration of Solutions for a Class of Elliptic Problems with Discontinuous Nonlinearity in $mathbf{R}^{N}$ [O] . Claudianor O. Alves, Rúbia G. Nascimento 2013

机译：$ mathbf {r} ^ {n} $的一类不连续非线性的一类椭圆问题解决方案的存在和集中
8. On the Existence of Infinitely Many Solutions of the Dirichlet Problem for Some Nonlinear Elliptic Equations [R] . Dong, G. C., Li, S. 1980

机译：关于一类非线性椭圆型方程Dirichlet问题无穷多解的存在性

EXISTENCE OF SOLUTIONS TO RESONANT ELLIPTIC BOUNDARY VALUE PROBLEMS WITH UNBOUNDED DISCONTINUOUS NONLINEARITIES

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