coercive problems Latest Research Papers

Compact perturbations of coercive problems

Variational Techniques for Elliptic Partial Differential Equations ◽

10.1201/9780429507069-8 ◽

2019 ◽

pp. 149-176

Author(s):

Francisco-Javier Sayas ◽

Thomas S. Brown ◽

Matthew E. Hassell

Keyword(s):

Compact Perturbations ◽

Coercive Problems

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Multiple solutions for nonlinear nonhomogeneous resonant coercive problems

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2018010 ◽

2018 ◽

Vol 11 (2) ◽

pp. 155-178 ◽

Cited By ~ 2

Author(s):

Diego Averna ◽

◽

Nikolaos S. Papageorgiou ◽

Elisabetta Tornatore ◽

Keyword(s):

Multiple Solutions ◽

Coercive Problems

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Optimization-based additive decomposition of weakly coercive problems with applications

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.12.032 ◽

2016 ◽

Vol 71 (11) ◽

pp. 2140-2154 ◽

Cited By ~ 3

Author(s):

Pavel Bochev ◽

Denis Ridzal

Keyword(s):

Additive Decomposition ◽

Coercive Problems

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Some coercive problems for the system of Poisson equations

Russian Journal of Mathematical Physics ◽

10.1134/s1061920813040031 ◽

2013 ◽

Vol 20 (4) ◽

pp. 402-412 ◽

Cited By ~ 9

Author(s):

Yu. A. Dubinskii

Keyword(s):

Poisson Equations ◽

Coercive Problems

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Fractional powers of operators corresponding to coercive problems in Lipschitz domains

Functional Analysis and Its Applications ◽

10.1007/s10688-013-0013-0 ◽

2013 ◽

Vol 47 (2) ◽

pp. 83-95 ◽

Cited By ~ 10

Author(s):

M. S. Agranovich ◽

A. M. Selitskii

Keyword(s):

Lipschitz Domains ◽

Fractional Powers ◽

Fractional Powers Of Operators ◽

Coercive Problems

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Multiple Solutions for Nonlinear Coercive Problems with a Nonhomogeneous Differential Operator and a Nonsmooth Potential

Set-Valued and Variational Analysis ◽

10.1007/s11228-011-0198-4 ◽

2011 ◽

Vol 20 (3) ◽

pp. 417-443 ◽

Cited By ~ 34

Author(s):

Leszek Gasiński ◽

Nikolaos S. Papageorgiou

Keyword(s):

Differential Operator ◽

Multiple Solutions ◽

Nonhomogeneous Differential Operator ◽

Nonsmooth Potential ◽

Coercive Problems

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On the Value Function of Weakly Coercive Problems in Nonlinear Stochastic Control

Applied Mathematics & Optimization ◽

10.1007/s00245-011-9132-2 ◽

2011 ◽

Vol 64 (1) ◽

pp. 71-100 ◽

Cited By ~ 1

Author(s):

Monica Motta ◽

Caterina Sartori

Keyword(s):

Stochastic Control ◽

Value Function ◽

The Value Function ◽

Coercive Problems

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Weakly Coercive Problems in Nonlinear Stochastic Control: Existence of Optimal Controls

SIAM Journal on Control and Optimization ◽

10.1137/080730202 ◽

2010 ◽

Vol 48 (5) ◽

pp. 3532-3561 ◽

Cited By ~ 3

Author(s):

M. Motta ◽

C. Sartori

Keyword(s):

Stochastic Control ◽

Optimal Controls ◽

Existence Of Optimal Controls ◽

Coercive Problems

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Three non-trivial solutions for not necessarily coercive p-Laplacian equations

Proceedings of the Edinburgh Mathematical Society ◽

10.1017/s0013091507000879 ◽

2009 ◽

Vol 52 (3) ◽

pp. 679-688

Author(s):

Shouchuan Hu ◽

Nikolas S. Papageorgiou

Keyword(s):

Upper And Lower Solutions ◽

Elliptic Problems ◽

Critical Groups ◽

Constant Sign ◽

Smooth Solutions ◽

Nonlinear Elliptic Problems ◽

Nonlinear Elliptic ◽

Truncation Techniques ◽

Laplacian Equations ◽

Coercive Problems

AbstractWe consider the existence of three non-trivial smooth solutions for nonlinear elliptic problems driven by the p-Laplacian. Using variational arguments, coupled with the method of upper and lower solutions, critical groups and suitable truncation techniques, we produce three non-trivial smooth solutions, two of which have constant sign. The hypotheses incorporate both coercive and non-coercive problems in our framework of analysis.

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