Existence and Multiplicity Results for Nonlinear Elliptic Problems in ℝ N with an Indefinite Functional
MetadataShow full metadata
We prove the existence of a nontrivial solution for the nonlinear elliptic problem -∆u = λh(x)u + α(x)g(u) in ℝ N, where g is superlinear near zero and near infinity, α(x) changes sign, λ is positive, and h(x) ≥ 0 is a weight function. For g odd, we prove the existence of an infinite number of solutions.
CitationCosta, D. G., Guo, Y., & Ramos, M. (2002). Existence and multiplicity results for nonlinear elliptic problems in R N with an indefinite functional. Electronic Journal of Differential Equations, 2002(25), pp. 1-15.
This work is licensed under a Creative Commons Attribution 4.0 International License.