Decay of Nonnegative Solutions of Singular Parabolic Equations with KPZ-NonlinearitiesAbstract: The Cauchy problem for quasilinear parabolic equations with KPZ-
nonlinearities Cosmology in nonlinear multidimensional gravity and the Casimir effect energy density is compensated by a fine-tuned contribution of the curvature-
nonlinear terms Nonexistence of Nontrivial Weak Solutions of Some Nonlinear Inequalities with Gradient Nonlinearity of the Laplace operator and with a
nonlinear term of the form a(x) |∇(Δmu)|q + b(x)|∇u|s. We obtain optimal a
Blow-up for nonlinear inequalities with gradient terms and singularities on unbounded setsSummary: "Nonexistence results for nontrivial solutions for some classes of
nonlinear partial
On sufficient conditions for bifurcation does not subsume the "primal" description of the feasible set (in
terms of tangent vectors, or in any
CONDITIONS FOR ABSENCE OF SOLUTIONS TO SOME HIGHER ORDER ELLIPTIC INEQUALITIES WITH SINGULAR COEFFICIENTS IN Rn coefficients and gradient
terms in Rn. Our approach is based on the Pokhozhaev
nonlinear capacity method, which