In this paper, we show how the introduction of a nonlinear term in the classic spring model can produce dramatic results. We compute a large amplitude solution which is drastically different from the known linear, small amplitude solution. A dual variational formulation is given, recasting the probl
Numerical mountain pass solutions of a suspension bridge equation
β Scribed by L.D. Humphreys
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 863 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
This work is devoted to study the existence of solutions to equations of p-Laplacian type. We prove the existence of at least one solution, and under further assumptions, the existence of inΓΏnitely many solutions. In order to apply mountain pass results, we introduce a notion of uniformly convex fun
We use the mountain pass theorem to study the existence and multiplicity of positive solutions of the generalisation of the well-known logistic equation -u = g(x)u(x)(1 -u(x)) with Dirichlet boundary conditions to the case where g changes sign.
We consider a class of noncoercive hemivariational inequalities involving the p-Laplacian. Our goal is to obtain the existence of a nontrivial solution. Using the mountain-pass theorem for locally Lipschitz functionals we obtain the desired result.