Solution of nonlinear equations having asymptotic limits at zero and infinity.

DOI10.1007/s005260000058zbMath1102.35325MaRDI QIDQ5944872

Perera, Kanishka, Schechter, Martin

Publication date: 2001

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20)

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Existence of multiple solutions with precise sign information for superlinear Neumann problems ⋮ Multiple positive solutions for nonlinear periodic problems ⋮ Nontrivial solutions of elliptic systems with nonlinearities may not have asymptotic limits ⋮ Multiplicity of Solutions For p-Laplacian Equations Which Need Not be Coercive ⋮ Periodic problems with double resonance ⋮ Neumann problems resonant at zero and infinity ⋮ Existence of three nontrivial solutions for asymptotically \(p\)-linear noncoercive \(p\)-Laplacian equations ⋮ Critical groups at infinity for \(p\)-Laplacian equations with indefinite nonlinearities ⋮ Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues ⋮ Nontrivial solutions for elliptic resonant problems ⋮ On the existence of a non-trivial solution for the \(p\)-Laplacian equation with a jumping nonlinearity ⋮ Multiple solutions for semilinear elliptic boundary value problems with double resonance ⋮ Nontrivial solutions for the fractional Laplacian problems without asymptotic limits near both infinity and zero ⋮ On the role played by the Fučík spectrum in the determination of critical groups in elliptic problems where the asymptotic limits may not exist

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