Exhaustive existence and non-existence results for some prototype polyharmonic equations in the whole space

Existence and stability properties of entire solutions to the polyharmonic equation (−Δ) m u = e u for any m ≥ 1

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Remarks on Entire Solutions for Two Fourth-Order Elliptic Problems

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Super polyharmonic property of solutions for PDE systems and its applications

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Nonexistence of Positive Supersolutions of Elliptic Equations via the Maximum Principle

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A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities

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The proof of the Lane–Emden conjecture in four space dimensions

(2009) Philippe Souplet   ADVANCES IN MATHEMATICS

Radial solutions of a polyharmonic equation with power nonlinearity

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Nonlinear biharmonic equations with negative exponents

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Representation Formulae for Solutions to Some Classes of Higher Order Systems and Related Liouville Theorems

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