Existence of solutions for hyperbolic hemivariational inequalities

DOI10.1016/S0022-247X(02)00431-6zbMath1022.49014WikidataQ112251862 ScholiaQ112251862MaRDI QIDQ1857008

Leszek Gasiński

Publication date: 11 February 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

pseudomonotone operatorexistence resultsClarke nonsmooth critical point theoryhyperbolic hemivariational inequality

Mathematics Subject Classification ID

Related Items (10)

Evolution hemivariational inequalities with hysteresis ⋮ On solutions for a hyperbolic system with differential inclusion and memory source term on the boundary ⋮ Periodic solutions for nonlinear nonmonotone evolution inclusions ⋮ Decay of energy for second-order boundary hemivariational inequalities with coercive damping ⋮ Existence results for a class of second order evolution inclusions and its corresponding first order evolution inclusions ⋮ Evolution hemivariational inequality with hysteresis operator in higher order term ⋮ Nonlinear second order evolution inclusions with noncoercive viscosity term ⋮ Existence of solutions for wave-type hemivariational inequalities with noncoercive viscosity damping ⋮ Evolution hemivariational inequality of wave-type with hysteresis ⋮ Uniform decay for a hyperbolic system with differential inclusion and nonlinear memory source term on the boundary

Cites Work

• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Existence results for second-order nonlinear evolution inclusions
• Existence of solutions and periodic solutions for nonlinear evolution inclusions
• On the existence of solutions for nonlinear parabolic problems with nonmonotone discontinuities
• Optimal shape design problems for a class of systems described by parabolic hemivariational inequality
• Modelling of nonconvex nonsmooth energy problems. Dynamic hemivariational inequalities with impact effects
• A note on Gronwall-Bellman inequality
• Coercive and semicoercive hemivariational inequalities
• Eigenvalue problems for variational-hemivariational inequalities at resonance
• Monotonicity methods for nonlinear evolution equations
• A parabolic hemivariational inequality
• Set-valued analysis
• Nonlinear evolution equations in Banach spaces
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