Displaying similar documents to “Existence of solutions for some elliptic problems with critical Sobolev exponents.”

Weak compactness of solutions for fourth order elliptic systems with critical growth

Paweł Goldstein, Paweł Strzelecki, Anna Zatorska-Goldstein (2013)

Studia Mathematica

Similarity:

We consider a class of fourth order elliptic systems which include the Euler-Lagrange equations of biharmonic mappings in dimension 4 and we prove that a weak limit of weak solutions to such systems is again a weak solution to a limit system.

The Lane-Emden Function and Nonlinear Eigenvalues Problems

Ould Ahmed Izid Bih Isselkou (2009)

Annales de la faculté des sciences de Toulouse Mathématiques

Similarity:

We consider a semilinear elliptic eigenvalues problem on a ball of ℜ n and show that all the eigenfunctions and eigenvalues, can be obtained from the Lane-Emden function.