Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities

By Gabriele Bonanno, Pasquale Candito. 2008

239 citations recorded by the source corpus.

Abstract Multiple critical points theorems for non-differentiable functionals are established. Applications both to elliptic variational–hemivariational inequalities and eigenvalue problems with discontinuous nonlinearities are then presented.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/559979a3cefc945eed1ac31f30ed58435ed07d5c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Gabriele Bonanno
2. S. Marano
3. Pasquale Candito
4. Biagio Ricceri
5. Giuseppina D'Aguì
6. Diego Averna
7. Guowei Dai
8. Antonia Chinnì

In Computational Theory and Mathematics

1. Gabriele Bonanno
2. S. Marano
3. Pasquale Candito
4. Biagio Ricceri
5. Giuseppina D'Aguì
6. Vicentiu D. Rădulescu
7. Guowei Dai
8. Antonia Chinnì

In Mechanics of Materials

1. Gabriele Bonanno
2. Biagio Ricceri

Citations in the corpus

• On the structure of the critical set of non-differentiable functions with a weak compactness condition (2010, background): “3 in [13] yield a global minimum x0 of f jXn r, because 51/’((1))(r).”
• Existence of solutions to boundary value problem for impulsive fractional differential equations (2014, unknown): “j=1 max |x|≤c (−Jj(x)) = 0, then μ∗c = +∞ (see, for instance, [10]).”