Nontrivial solutions for a Neumann problem with a nonlinear term asymptotically linear at \(-\infty\) and superlinear at \(+\infty\)

DOI10.1007/BF02572378zbMath0834.35048MaRDI QIDQ1896770

David Arcoya, Salvador Villegas

Publication date: 11 September 1995

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174786

zbMATH Keywords

mountain pass lemmasign conditionsemilinear Neumann problem with subcritical growth

Mathematics Subject Classification ID

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

Related Items (18)

Asymmetric \((p,2)\)-equations, superlinear at \(+\infty\) resonant at \(-\infty\) ⋮ Second order, Sturm-Liouville problems with asymmetric, superlinear nonlinearities. II ⋮ On a Robin problem with indefinite weight and asymmetric reaction superlinear at \(+\infty\) ⋮ Nonlinear elliptic equations with asymmetric asymptotic behavior at \(\pm \infty\) ⋮ Asymmetric \(8(p,2)\)-equations with double resonance ⋮ Multiplicity results for fractional systems crossing high eigenvalues ⋮ Successively iterative method of nonlinear Neumann boundary value problems ⋮ Nontrivial solutions for a class of \(p\)-Kirchhoff Dirichlet problem ⋮ Second-order Sturm--Liouville problems with asymmetric, superlinear nonlinearities. ⋮ Nontrivial solutions for asymmetric Kirchhoff type problems ⋮ Multiple solutions for a fourth-order nonlinear elliptic problem which is superlinear at \(+\infty\) and linear at \(-\infty\) ⋮ A multiplicity theorem for Neumann problems with asymmetric nonlinearity ⋮ Semilinear elliptic problems with asymmetric nonlinearities ⋮ Nontrivial solution for asymmetric \((p,2)\)-Laplacian Dirichlet problem ⋮ Critical Neumann problems with asymmetric nonlinearity ⋮ Resonant-superlinear elliptic problems at high-order eigenvalues ⋮ Critical elliptic problems in ℝ² involving resonance in high-order eigenvalues ⋮ Multiple solutions of weakly-coupled systems with \(p\)-Laplacian operators

Cites Work

• Lectures on the Ekeland variational principle with applications and detours. Lectures delivered at the Indian Institute of Science, Bangalore, India under the T.I.F.R.-I.I.Sc. programme in applications of mathematics
• Dual variational methods in critical point theory and applications
• Linking theorems and applications to semilinear elliptic problems at resonance
• Remarks on finding critical points
• Unnamed Item

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