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Variational versus pseudomonotone operator approach in parameter-dependent nonlinear elliptic problems

2013
We study the existence of nontrivial solutions of parameter-dependent quasilinear elliptic Dirichlet problems of the form $-\Delta u = \lambda f(u)$ in $\Omega$, $u = 0$ on $\partial\Omega$, in a bounded domain $\Omega$ with sufficiently smooth boundary, where $\lambda$ is a real parameter and $\Delta_p$ denotes the p-Laplacian.
Candito, P., Carl, S., Livrea, R.
openaire   +2 more sources

Pseudomonotone Operators: A Survey of the Theory and Its Applications

Journal of Optimization Theory and Applications, 2012
Nicolas Hadjisavvas, S Schaible
exaly  

A Class of Nonlinear Variational Inequalities Involving Pseudomonotone Operators

International Journal of Stochastic Analysis, 2000
Ram U Verma
exaly  

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