Page 1 Lecture Notes in Mathematics Filippo Gazzola Hans-Christoph Grunau Guido Sweers
Polyharmonic Boundary Value Problems 1991 Positivity Preserving and Nonlinear Higher …

Several years ago, I was intensively studying semilinear biharmonic elliptic equations, a
topic quite far away from suspension bridges. In 2009, I was invited at a conference in …

We consider Liouville-type and partial regularity results for the nonlinear fourth-order
problem Δ 2 u=| u| p− 1 u in R n, where p> 1 and n⩾ 1. We give a complete classification of …

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations Page
1 Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrödinger Equations …

We give a new approach to general Emden-Fowler equations and systems of the form (E_ ε)-
Δ _ pu=-\rm div (\left | ∇ u\right |^ p-2 ∇ u)= ε\left | x\right |^ au^ Q,(G)\left {-Δ _ pu=-\rm div …

We study second and fourth order semilinear elliptic equations with a power-type
nonlinearity depending on a power p and a parameter λ> 0. For both equations we consider …

We investigate a class of nonlinear biharmonic equations with p-Laplacian {Δ 2 u− β Δ p u+
λ V (x) u= f (x, u) in RN, u∈ H 2 (RN), where N≥ 1, β∈ R, λ> 0 is a parameter and Δ pu= div …

We study existence and positivity properties for solutions of Cauchy problems for both linear
and semilinear parabolic equations with the biharmonic operator as elliptic principal part …

Liouville theorems for stable solutions of biharmonic problem | Mathematische Annalen Skip to
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“It is geometers' dream to find a canonical metric gbest on a given smooth manifold M so that
all topology of M will be captured by geometry”(M. Gromov) 1 It is a little awkward to write an …