Three solutions for a Navier boundary value problem involving the \(p\)-biharmonic

DOI10.1016/j.na.2009.08.011zbMath1180.35210OpenAlexW2006274991MaRDI QIDQ2653959

Chun-Lei Tang, Chun Li

Publication date: 15 January 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.08.011

zbMATH Keywords

critical pointsNavier boundary value problem\(p\)-biharmonic

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Nonlinear elliptic equations (35J60) Weak solutions to PDEs (35D30) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Variational methods for higher-order elliptic equations (35J35)

Related Items (31)

Multiple Solutions to p-Biharmonic Equations of Kirchhoff Type with Vanishing Potential ⋮ Perturbed nonlocal fourth order equations of Kirchhoff type with Navier boundary conditions ⋮ Existence of one weak solution for \(p(x)\)-biharmonic equations with Navier boundary conditions ⋮ Unnamed Item ⋮ Multiple solutions for a nonlocal elliptic problem involving \((p(x), q(x))\)-biharmonic operator ⋮ Infinitely many solutions for \(p\)-harmonic equation with singular term ⋮ Existence of three solutions for variable exponent elliptic systems ⋮ On the existence of three solutions for some classes of two-point semi-linear and quasi-linear differential equations ⋮ One solution for nonlocal fourth order equations ⋮ Existence of weak solutions for second-order boundary-value problems of Kirchhoff-type with variable exponents ⋮ Existence results for perturbed fourth-order Kirchhoff type elliptic problems with singular term ⋮ Infinitely many solutions for a perturbed nonlinear Navier boundary value problem involving the \(p\)-biharmonic ⋮ Infinitely many solutions for systems of \(n\) fourth order partial differential equations coupled with Navier boundary conditions ⋮ Multiplicity results for perturbed fourth-order Kirchhoff type elliptic problems ⋮ Three solutions for a perturbed Navier problem ⋮ Existence of multiple solutions for a quasilinear biharmonic equation ⋮ Hamiltonian elliptic systems with critical polynomial-exponential growth ⋮ Unnamed Item ⋮ Multiple solutions ofp-biharmonic equations with Navier boundary conditions ⋮ Infinitely many solutions for a class of indefinite biharmonic equation under symmetry breaking situations ⋮ Existence of three solutions for \((p, q)\)-biharmonic systems ⋮ Multiplicity results for solutions of \(p\)-biharmonic problems ⋮ Perturbed fourth-order Kirchhoff-type problems ⋮ On some semilinear equation in \(\mathbb R^4\) containing a Laplacian term and involving nonlinearity with exponential growth ⋮ Multiplicity results forp(x)-biharmonic equations with Navier boundary conditions ⋮ Existence of two non-zero weak solutions for a nonlinear Navier boundary value problem involving the \(p\)-biharmonic ⋮ Multiple solutions for nonlinear Navier boundary systems involving \((p_1(x), \ldots, p_n(x))\)-biharmonic problem ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Existence of nontrivial weak solutions for \(p\)-biharmonic Kirchhoff-type equations ⋮ Unnamed Item

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