Existence of seven solutions for an asymptotically linear Dirichlet problem without symmetries

DOI10.1007/s10231-011-0239-5zbMath1277.35149OpenAlexW2092700314MaRDI QIDQ361923

Alfonso Castro, Carlos Vélez, Jorge Cossio

Publication date: 20 August 2013

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: http://link.springer.com/article/10.1007%2Fs10231-011-0239-5

zbMATH Keywords

bifurcationMorse indexsemilinear elliptic equationsign-changing solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Semilinear elliptic equations (35J61)

Related Items (10)

Multiplicity of solutions for resonant Neumann problems with an indefinite and unbounded potential ⋮ Existence and multiplicity results for a semilinear elliptic problem ⋮ Infinitely many nodal solutions for semilinear Robin problems with an indefinite linear part ⋮ Multiplicity results and qualitative properties for Neumann semilinear elliptic problems ⋮ Semilinear Robin problems with indefinite potential and competition phenomena ⋮ Seven solutions with sign information for sublinear equations with unbounded and indefinite potential and no symmetries ⋮ Existence of multiple solutions for a semilinear problem and a counterexample by E. N. Dancer ⋮ Multiple solutions for the coercive semilinear elliptic equations ⋮ The existence of seven solutions for a superlinear elliptic boundary value problem without symmetries ⋮ Superlinear perturbations of the eigenvalue problem for the Robin Laplacian plus an indefinite and unbounded potential

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• Qualitative properties of nodal solutions of semilinear elliptic equations in radially symmetric domains
• Solutions of asymptotically linear operator equations via morse theory
• Multiple Solutions for a Nonlinear Dirichlet Problem

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