Abstract
This paper is concerned with bifurcation problems for nonlinear partial differential equations of the form $$-\mbox{div}(a(|\nabla u|)\nabla u) = \lambda g(u)$$ which are subject to Dirichlet boundary conditions. We show the existence of infinitely many nontrivial solutions of the eigenvalue problems in the case where $a(|t|) = |t|^{p-2}$ and $g(t) = |t|^{p-2}t, $ $p> 1.$ More general situations are also considered.
Citation
Klaus Schmitt. Inbo Sim. "Bifurcation problems associated with generalized Laplacians." Adv. Differential Equations 9 (7-8) 797 - 828, 2004. https://doi.org/10.57262/ade/1355867925
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