18 research outputs found
Existence of positive eigenfunctions to an anisotropic elliptic operator via the sub-supersolution method
No full textWell-posedness of the Cauchy problem for nonlinear parabolic equations with variable density in the hyperbolic space
No full textNonexistence of Global Solutions to a Class of Nonlinear Differential Inequalities and Application to Hyperbolic–Elliptic Problems
No full text
Linking solutions for quasilinear equations at critical growth involving the "1-Laplace" operator
No full textWe show that the problem at critical growth, involving the 1-Laplace operator and obtained by relaxation of
-\Delta_1 u=\lambda |u|^{-1}u + |u|^{1^*-2} u,
admits a nontrivial solution u in BV(\Omega) for any \lambda\geq\lambda_1.
Nonstandard linking structures, for the associated functional, are recognized
On the interfaces in a nonlocal quasilinear degenerate equation arising in population dynamics
No full text
