Comparison results between minimal barriers and viscosity solutions for geometric evolutions
Comparison results for a class of variational inequalities.
In this paper we study a variational inequality related to a linear differential operator of elliptic type. We give a pointwise bound for the rearrangement of the solution u, and an estimate for the L2-norm of the gradient of u.
Comparison results for elliptic and parabolic equations via Schwarz symmetrization
Comparison results for Hessian equations via symmetrization
Comparison results for semilinear elliptic equations via Picone-type identities.
Comparison results for solutions of elliptic problems via symmetrization
Comparison results of reaction-diffusion equations with delay in abstract cones
Comparison theorems for a class of first order Hamilton-Jacobi equations
Comparison theorems for infinite systems of parabolic functional-differential equations
The paper deals with a weakly coupled system of functional-differential equations , i ∈ S, where (t,x) = (t,x₁,...,xₙ) ∈ (0,a) × G, and S is an arbitrary set of indices. Initial boundary conditions are considered and the following questions are discussed: estimates of solutions, criteria of uniqueness, continuous dependence of solutions on given functions. The right hand sides of the equations satisfy nonlinear estimates of the Perron type with respect to the unknown functions. The results are...
Comparison theorems for multicomponent diffusion systems: Developments since 1961.
Comparison theorems for purely non-linear parabolic differential operators
Comparison theorems for Riccati inequalities arising in the theory of PDEs with -Laplacian.
Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
Comparison theorems for temperatures in noncylindrical domains
In questa Nota gli autori presentano alcuni risultati riguardanti il comportamento alla frontiera di domini non cilindrici delle soluzioni positive dell'equazione del calore. Una conseguenza è che due soluzioni positive qualunque, che si annullano su una parte della frontiera laterale, tendono a zero con lo stesso ordine.
Comparison theorems for ultrahyperbolic equations.
Compatibility of systems of linear ordinary differential equations with variable coefficients
Compatible discretization of second-order elliptic problems.
Compensated compactness and one-dimensional elastodynamics
Compensated compactness and time-periodic solutions to non-autonomous quasilinear telegraph equations
In the present paper, the existence of a weak time-periodic solution to the nonlinear telegraph equation with the Dirichlet boundary conditions is proved. No “smallness” assumptions are made concerning the function . The main idea of the proof relies on the compensated compactness theory.
Competition of Species with Intra-Specific Competition
Intra-specific competition in population dynamics can be described by integro-differential equations where the integral term corresponds to nonlocal consumption of resources by individuals of the same population. Already the single integro-differential equation can show the emergence of nonhomogeneous in space stationary structures and can be used to model the process of speciation, in particular, the emergence of biological species during evolution [S. Genieys et al., Math. Model. Nat. Phenom....