ROBIN PROBLEMS FOR THE p-LAPLACIAN WITH GRADIENT DEPENDENCE

GENNI FRAGNELLI; DIMITRI MUGNAI; NIKOLAOS S. PAPAGEORGIOU

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ROBIN PROBLEMS FOR THE p-LAPLACIAN WITH GRADIENT DEPENDENCE

机译：P-Laplacian具有梯度依赖的罗宾问题

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摘要

We consider a nonlinear elliptic equation with Robin boundary condition driven by the p-Laplacian and with a reaction term which depends also on the gradient. By using a topological approach based on the Leray- Schauder alternative principle, we show the existence of a smooth solution.

机译：我们考虑由P-Laplacian驱动的Robin边界条件的非线性椭圆方程，并且具有替代梯度的反应术语。通过使用基于LERAY-SCHAUDER替代原则的拓扑方法，我们展示了平滑解决方案的存在。

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来源
《Discrete and continuous dynamical systems▼hSeries S》 |2019年第2期|287-295|共9页
作者
GENNI FRAGNELLI; DIMITRI MUGNAI; NIKOLAOS S. PAPAGEORGIOU;
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作者单位

Dipartimento di Matematica Universita di Bari Via E. Orabona 4 70125 Bari Italy;

Dipartimento di Scienze Ecologiche e Biologiche (DEB) Universit a della Tuscia Largo dell'Universita 01100 Viterbo Italy;

Department of Mathematics National Technical University Zografou Campus Athens 15780 Greece;

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正文语种 eng
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关键词
Convection term; nonlinear regularity; Leray-Schauder alternative principle; maximal monotone map; compact embedding;

机译：对流术语;非线性规律性;Leray-Schauder替代原则;最大单调地图;紧凑嵌入;

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1. Positive solutions for nonlinear singular elliptic equations of p-Laplacian type with dependence on the gradient [J] . Liu Zhenhai, Motreanu Dumitru, Zeng Shengda Calculus of variations and partial differential equations . 2019,第1期

机译：P-Laplacian类型非线性奇异椭圆方程的正解，梯度依赖性
2. Positive solutions for the p-Laplacian with dependence on the gradient [J] . Bueno H., Ercole G., Zumpano A., Nonlinearity . 2012,第4期

机译：依赖梯度的p-Laplacian正解
3. EXISTENCE OF POSITIVE SOLUTIONSFOR NONLINEAR ROBIN PROBLEMSWITH GRADIENT DEPENDENCE [J] . Nikolaos S. Papageorgiou, Chao Zhang Annales Academiae Scientiarum Fennicae. Mathematica . 2019,第2期

机译：具有梯度依赖的非线性Robin问题的正解存在性。
4. ROUND ROBIN TESTING OF CREEP CORROSION DEPENDENCE ON RELATIVE HUMIDITY [C] . Prabjit Singh, Larry Palmer, Haley Fu, SMTA international conference . 2017

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5. Normalized p-laplacian evolution: boundary behavior of non-negative solutions of fully nonlinear parabolic equations: Gradient bounds for p-harmonic systems with vanishing neumann (dirichlet) data in a convex domain. [D] . Banerjee, Agnid. 2014

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6. A call for a round robin study of XAFS stability and platform dependence at synchrotron beamlines on well defined samples [O] . Christopher T. Chantler, Bruce A. Bunker, Hitoshi Abe, -1

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7. Robin problems for the p-Laplacian with gradient dependence [O] . Genni Fragnelli, Dimitri Mugnai, Nikolaos S. Papageorgiou 2019

机译：罗宾问题 p - 梯度依赖的平面图

ROBIN PROBLEMS FOR THE p-LAPLACIAN WITH GRADIENT DEPENDENCE

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