A saddle point theorem for non-smooth functionals and problems at resonance

被引:0
|
作者
Niculescu, CP [1 ]
Radulescu, V [1 ]
机构
[1] UNIV CRAIOVA,DEPT MATH,R-1100 CRAIOVA,ROMANIA
来源
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove a saddle point theorem for locally Lipschitz functionals with arguments based on a version of the mountain pass theorem for such kind of functionals. This abstract result is applied to solve two different types of multivalued semilinear elliptic boundary value problems with a Laplace-Beltrami operator on a smooth compact Riemannian manifold.
引用
收藏
页码:117 / 131
页数:15
相关论文
共 50 条
  • [21] Non-smooth variational problems and applications
    Kovtunenko, Victor A.
    Itou, Hiromichi
    Khludnev, Alexander M.
    Rudoy, Evgeny M.
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2022, 380 (2236):
  • [22] A NEURAL NETWORK FOR SMOOTH NONCONVEX SADDLE POINT PROBLEMS
    Bian, Wei
    Xue, Xiaoping
    Wu, Huaiqin
    INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2009, 5 (09): : 2781 - 2790
  • [23] Poincaré recurrence theorem for non-smooth vector fields
    Rodrigo D. Euzébio
    Márcio R. A. Gouveia
    Zeitschrift für angewandte Mathematik und Physik, 2017, 68
  • [24] Poincare recurrence theorem for non-smooth vector fields
    Euzebio, Rodrigo D.
    Gouveia, Marcio R. A.
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2017, 68 (02):
  • [25] Non-smooth saddle-node bifurcations I: existence of an SNA
    Fuhrmann, Gabriel
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2016, 36 : 1130 - 1155
  • [26] On smooth reformulations and direct non-smooth computations for minimax problems
    Ralph Baker Kearfott
    Sowmya Muniswamy
    Yi Wang
    Xinyu Li
    Qian Wang
    Journal of Global Optimization, 2013, 57 : 1091 - 1111
  • [27] Non-smooth variational problems and applications in mechanics
    Kovtunenko, Victor A.
    Itou, Hiromichi
    Khludnev, Alexander M.
    Rudoy, Evgeny M.
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2024, 382 (2277): : 20230310
  • [28] A Smooth Method for Solving Non-Smooth Unconstrained Optimization Problems
    Rahmanpour, F.
    Hosseini, M. M.
    JOURNAL OF MATHEMATICAL EXTENSION, 2016, 10 (03) : 11 - 33
  • [29] On smooth reformulations and direct non-smooth computations for minimax problems
    Kearfott, Ralph Baker
    Muniswamy, Sowmya
    Wang, Yi
    Li, Xinyu
    Wang, Qian
    JOURNAL OF GLOBAL OPTIMIZATION, 2013, 57 (04) : 1091 - 1111
  • [30] DUALITY THEOREM AND VECTOR SADDLE POINT THEOREM FOR ROBUST MULTIOBJECTIVE OPTIMIZATION PROBLEMS
    Kim, Moon Hee
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 28 (03): : 597 - 602