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An optimal shape design problem for a hyperbolic hemivariational inequality

100%

Gasiński L.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2000

tom 20

nr 1

41-50

In this paper we consider hemivariational inequalities of hyperbolic type. The existence result for hemivariational inequality is given and the existence theorem for the optimal shape design problem is shown.

On the existence of five nontrivial solutions for resonant problems with p-Laplacian

63%

Gasiński L., Papageorgiou N.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2010

tom 30

nr 2

169-189

In this paper we study a nonlinear Dirichlet elliptic differential equation driven by the p-Laplacian and with a nonsmooth potential. The hypotheses on the nonsmooth potential allow resonance with respect to the principal eigenvalue λ₁ > 0 of $(-Δₚ,W₀^{1,p}(Z))$. We prove the existence of five nontrivial smooth solutions, two positive, two negative and the fifth nodal.

Ograniczanie wyników

2 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2 Gasiński L.

1 Papageorgiou N.

1 2010

1 2000

Wyniki wyszukiwania

An optimal shape design problem for a hyperbolic hemivariational inequality

On the existence of five nontrivial solutions for resonant problems with p-Laplacian