Examples of unbounded generalized solutions of nonlinear fourth-order equations with strengthened coercivity (Q2879994)

The author give examples of unbounded generalized solution of the equation NEWLINE\[NEWLINE \sum_{| \alpha| \leq 2}(-1)^{| \alpha| }D^\alpha A_\alpha(x,u,..,D^2u)=0,\,\,\, in \,\,\, \Omega, NEWLINE\]NEWLINE under the condition NEWLINE\[NEWLINE \sum_{1\leq | \alpha| \leq 2} A_\alpha(x,\xi) \xi_\alpha \geq ( \sum_{| \alpha| =1}| \xi_\alpha| ^q+\sum_{| \alpha| =2}| \xi_\alpha| ^p\,,NEWLINE\]NEWLINE where \(\Omega\) is bounded domain in \(R^n\), \(p\geq 2\), \(mp<q<n.\)