Existence and uniqueness results for polyharmonic equations

DOI10.1016/S0362-546X(98)00049-2zbMath0921.35058OpenAlexW1986835814MaRDI QIDQ4238416

Robert Dalmasso

Publication date: 29 September 1999

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(98)00049-2

zbMATH Keywords

semilinear elliptic problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Boundary value problems for higher-order elliptic equations (35J40)

Related Items (9)

Remarks on radial symmetry and monotonicity for solutions of semilinear higher order elliptic equations ⋮ Uniqueness results for higher order Lane-Emden systems ⋮ Nontrivial solutions for the polyharmonic problem: existence, multiplicity and uniqueness ⋮ Radial symmetry of positive solutions to nonlinear polyharmonic Dirichlet problems ⋮ Existence of solutions to higher order Lane-Emden type systems ⋮ Positive solutions of polyharmonic equations with strong dependence on the gradient ⋮ Existence of positive solutions for nonlinear boundary value problems in bounded domains of \(\mathbb R^n\) ⋮ Existence of positive solutions for some polyharmonic nonlinear equations in \(\mathbb R^{n}\) ⋮ Multiple positive solutions for a singular biharmonic equation in ℝ⁴

Cites Work

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• Symmetry and related properties via the maximum principle
• Sublinear elliptic equations in \(\mathbb{R}{}^ n\)
• Positive radial solutions of semilinear elliptic equations of order \(2m\) in annular domains
• Remarks on sublinear elliptic equations
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Symmetry properties in higher order semilinear elliptic equations
• Uniqueness Theorems for Some Fourth-Order Elliptic Equations
• Elliptic Equations of Order 2m in Annular Domains
• Positivity for Perturbations of Polyharmonic Operators with Dirichlet Boundary Conditions in Two Dimensions

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