Existence and Symmetry of Least Energy Solutions for a Class of Quasi-Linear Elliptic Equations

Hess, Nonlinear parabolic boundary value problems with upper and lower solutions, Isra.. De La Pradelle, Sur Certaines Perturbations Non Lin´ eaires du

1.. Mignot and J.P.. We use a method of regularization and monotonicity- compactness arguments.. We use a method of differential ratios.. We remark that the new nonlinear

They arise in particular in the study of standing waves (stationary states) solutions of the corresponding nonlinear Schrödinger type equations.. Starting with the work

Specifically, we prove in this paper that any nonnegative solution u of (1.1), (1.2) has to be even in x 1 and, if u ≡ 0 and u is not strictly positive in Ω , the nodal set of u

Vogel, Symmetry and regularity for general regions having solutions to certain overdetermined boundary value problems, Atti

We consider a semilinear elliptic Dirichlet problem with jumping nonlinearity and, using variational methods, we show that the number of solutions tends to infinity as the number

The main applications we have in mind is the study of doubly nonlinear evolution problems of elliptic-parabolic type and degenerate parabolic problems of Stefan or Hele–Shaw type,

PRIGNET, Remarks on existence and uniqueness of solutions of elliptic problems with right-hand side measures, Rend. SERRIN, Pathological solutions of elliptic