The Dirichlet problem for singular elliptic equations with general nonlinearities

De Cicco Virginia; Giachetti Daniela; Oliva Francescantonio; Petitta Francesco

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The Dirichlet problem for singular elliptic equations with general nonlinearities

机译：一般非线性奇异椭圆方程的Dirichlet问题

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摘要

In this paper, under very general assumptions, we prove existence and regularity of distributional solutions to homogeneous Dirichlet problems of the form

机译：在本文中，在非常一般的假设下，我们证明了形式的均质Dirichlet问题的分配解决方案的存在性和规律性

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来源
《Calculus of variations and partial differential equations》 |2019年第4期|共40页
作者
De Cicco Virginia; Giachetti Daniela; Oliva Francescantonio; Petitta Francesco;
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作者单位

Sapienza Univ Roma Dipartimento Sci Base &

Applicate Ingn Via Scarpa 16 I-00161 Rome Italy;

Sapienza Univ Roma Dipartimento Sci Base &

Applicate Ingn Via Scarpa 16 I-00161 Rome Italy;

Sapienza Univ Roma Dipartimento Sci Base &

Applicate Ingn Ist Nazl Alta Matemat INdAM Via Scarpa 16 I-00161 Rome Italy;

Sapienza Univ Roma Dipartimento Sci Base &

Applicate Ingn Via Scarpa 16 I-00161 Rome Italy;

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正文语种 eng
中图分类偏微分方程;变分法;
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专利

1. The Dirichlet problem for fully nonlinear degenerate elliptic equations with a singular nonlinearity [J] . Birindelli Isabeau, Galise Giulio Calculus of variations and partial differential equations . 2019,第5期

机译：具有奇异非线性的全非线性退化椭圆方程的Dirichlet问题
2. The Dirichlet problem for a sub-elliptic equation with singular nonlinearity on the Heisenberg group [J] . Yu-Cheng An, Hairong Liu, Long Tian Journal of Mathematical Inequalities . 2020,第1期

机译：HEISENBERG组单椭圆等式的DIRICHLET问题
3. Cone Sobolev inequality and Dirichlet problem for nonlinear elliptic equations on a manifold with conical singularities [J] . Chen H., Liu X., Wei Y. Calculus of variations and partial differential equations . 2012,第3a4期

机译：锥奇异流形上非线性椭圆型方程的锥Sobolev不等式和Dirichlet问题
4. On the Dirichlet Problem for some Nonlinear Degenerated Elliptic Equations with Weight [C] . Mohamed El Ouaarabi, Chakir Allalou, Adil Abbassi International Conference on Optimization and Applications . 2021

机译：关于重量的一些非线性退化椭圆方程的Dirichlet问题
5. Singular solutions and comparison principles for linear and nonlinear elliptic equations. [D] . Davila, Juan D. 2002

机译：线性和非线性椭圆方程的奇异解和比较原理。
6. Colloquium PaperNonlinear partial differential equations and applications: Some nonlinear elliptic equations from geometry [O] . YanYan Li 2007

机译：非线性偏微分方程及其应用：几何学中的一些非线性椭圆方程
7. The Dirichlet problem for singular elliptic equations with general nonlinearities [O] . Virginia De Cicco, Daniela Giachetti, Francescantonio Oliva, 2019

机译：一般椭圆方程的Dirichlet问题非线性
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

The Dirichlet problem for singular elliptic equations with general nonlinearities

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