Nodal solutions for (𝑝,2)-equations

DOI10.1090/S0002-9947-2014-06324-1zbMath1357.35165OpenAlexW1985663221MaRDI QIDQ2944827

Sergiu Aizicovici, Vasile Staicu, Nikolaos S. Papageorgiou

Publication date: 8 September 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2014-06324-1

zbMATH Keywords

critical groupsMorse theorystrong comparison principlelocal minimizersshifting theoremnodal and constant sign solutionscritical point of mountain pass type

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (28)

Asymmetric \((p,2)\)-equations, superlinear at \(+\infty\) resonant at \(-\infty\) ⋮ Nonlinear elliptic equations with a jumping reaction ⋮ Remarks on minimizers for \((p,q)\)-Laplace equations with two parameters ⋮ \((p,2)\)-equations asymmetric at both zero and infinity ⋮ Asymmetric \(8(p,2)\)-equations with double resonance ⋮ Multiple solutions for nonlinear nonhomogeneous resonant coercive problems ⋮ On sign-changing solutions for \((p,q)\)-Laplace equations with two parameters ⋮ Nonhomogeneous hemivariational inequalities with indefinite potential and Robin boundary condition ⋮ Multiple solutions for \((p,2)\)-equations with resonance and concave terms ⋮ Nonlinear Nonhomogeneous Elliptic Problems ⋮ Generalized eigenvalues of the (P, 2)-Laplacian under a parametric boundary condition ⋮ Multiple solutions for \((p, 2)\)-equations at resonance ⋮ Multiple positive solutions for a class of (2, p)-Laplacian equation ⋮ Multiple solutions with sign information for a class of coercive \((p, 2)\)-equations ⋮ Existence and multiplicity of solutions for resonant \((p,2)\)-equations ⋮ Sign-changing solutions for resonant and superlinear nonhomogeneous elliptic equations ⋮ Positive solutions for nonlinear nonhomogeneous parametric Robin problems ⋮ Noncoercive resonant \((p,2)\)-equations ⋮ Double-phase problems with reaction of arbitrary growth ⋮ Nonlinear Dirichlet problems with double resonance ⋮ Unbalanced \((p,2)\)-fractional problems with critical growth ⋮ Solutions and positive solutions for superlinear Robin problems ⋮ Existence of continuous eigenvalues for a class of parametric problems involving the \((p,2)\)-Laplacian operator ⋮ Nodal Solutions for Nonlinear Non-Homogeneous Robin Problems with an Indefinite Potential ⋮ Noncoercive resonant \((p,2)\)-equations with concave terms ⋮ Constant sign and nodal solutions for parametric \((p, 2)\)-equations ⋮ Positive Solutions for Parametric Nonlinear Nonhomogeneous Robin Problems ⋮ Three solutions for parametric problems with nonhomogeneous \((a,2)\)-type differential operators and reaction terms sublinear at zero

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