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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

Exact self-consistent plane-symmetric solutions of the spinor-field equation with a nonlinear term that depends on the S2 - P2 invariant. For the power-law nonlinearity, when the nonlinear term entering into the Lagrangian has the form LN = λ

Some nonexistence results for nonlinear differential inequalities with gradient terms and singularities on unbounded sets.Some nonexistence results for nonlinear differential inequalities with gradient terms

On Nonexistence of Weak Solutions for Higher Order Nonlinear Singular Parabolic Inequalities with Nonlocal Source TermOn Nonexistence of Weak Solutions for Higher Order Nonlinear Singular Parabolic Inequalities

Exact self-consistent plane-symmetric solutions of the spinor-field equation with a nonlinear term dependent on the invariant p2Exact self-consistent plane-symmetric solutions of the spinor-field equation with a nonlinear term

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