On nonlinear nonhomogeneous resonant Dirichlet equations

DOI10.2140/pjm.2013.264.421zbMath1317.35057OpenAlexW2030491687MaRDI QIDQ372514

Nikolaos S. Papageorgiou, George Smyrlis

Publication date: 8 October 2013

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2013.264.421

zbMATH Keywords

Morse theorystrong comparison principletangency principleconstant sign and nodal solutionsresonant equations

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations with (p)-Laplacian (35J92) Comparison principles in context of PDEs (35B51)

Related Items (15)

Asymmetric \((p,2)\)-equations, superlinear at \(+\infty\) resonant at \(-\infty\) ⋮ Multiple solutions for a coercive quasilinear elliptic equation via Morse theory ⋮ Nonlinear elliptic equations with asymmetric asymptotic behavior at \(\pm \infty\) ⋮ Nonlinear nonhomogeneous Dirichlet equations involving a superlinear nonlinearity ⋮ On a class of parametric \((p,2)\)-equations ⋮ Asymmetric \(8(p,2)\)-equations with double resonance ⋮ Multiple solutions for nonlinear nonhomogeneous resonant coercive problems ⋮ Multiple solutions for \((p,2)\)-equations with resonance and concave terms ⋮ Nonlinear Dirichlet problems with a crossing reaction ⋮ Sign-changing solutions for resonant and superlinear nonhomogeneous elliptic equations ⋮ Double-phase problems with reaction of arbitrary growth ⋮ Nonlinear Robin problems with a reaction of arbitrary growth ⋮ Qualitative phenomena for some classes of quasilinear elliptic equations with multiple resonance ⋮ Unnamed Item ⋮ Resonant (p, 2)-equations with asymmetric reaction

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