Existence of radial solutions for indefinite semilinear elliptic equations
DOI:
https://doi.org/10.17268/sel.mat.2020.01.05Keywords:
Semilinear equation, Boundary value problem, Radial solution, Symmetric domain, Unit ball, Change of signAbstract
We study the existence of radial solutions of indefinite semilinear elliptic equations in the unit ball in Rn (n>=3) with Dirichlet boundary conditions, whose nonlinear term has the form lamda.m(|x|)f(u) where m(|.|) is radially symmetric, discontinuous and changes sign. This study is realized using variational tecniques and especially the Ambrosetti-Rabinowitz’s “Mountain Pass Lemma”.
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