On some semilinear equation in \(\mathbb R^4\) containing a Laplacian term and involving nonlinearity with exponential growth
The author gives sufficient conditions for problems \[ \Delta^2 u + u = \lambda g(x) (|\Delta u| +1) + f(u) \] in \(\mathbb{R}^4\) to admit two nontrivial weak solutions.
scientific article; zbMATH DE number 6495276
scientific article