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Existence results for fractional p-Laplacian systems via young measures
Get PDFIn this paper, we show the existence result of the following fractional p-Laplacian system
for a given datum f. The existence of weak solutions is obtained by using the theory of Young measures
Renormalized solutions for nonlinear parabolic equations with general measure data
No full textWe prove the existence of parabolic initial boundary value problems of the type
ut - div(αε(t, x, uε, ∇uε)) = με in Q ≔ (0, T) x Ω,
uε = 0 on (0, T) x ∂Ω, uε(0) = u0,ε in Ω,
with respect to suitable convergence of the nonlinear operators αε and of the measure data με. As a consequence, we obtain the existence of a renormalized solution for a general class of nonlinear parabolic equations with right-hand side measure.Mathematic
On a class of quasilinear elliptic systems
No full textWe study a class of quasilinear elliptic systems in Sobolev spaces. We prove the existence of a weak solution via Young measures
Métodos de grado topológico para un problema p(x)-elíptico fuertemente no lineal
No full textThis article is devoted to study the existence of weak solutions for the strongly nonlinear p(x)-elliptic problem Our technical approach is based on the recent Berkovits topological degree.Este artículo está dedicado a estudiar la existencia de soluciones débiles para el problema p(x)-elíptico fuertemente no lineal Nuestro enfoque técnico se basa en el reciente grado topologico de Berkovits
An existence result for a strongly nonlinear parabolic equations with variable nonlinearity
No full textWe prove the existence of a solution for the strongly nonlinear parabolic initial boundary value problem associated to the equation
ut − div a(x, t, ∇u) + g(x, t, u, ∇u) = f,
where the vector field a(x, t, ξ) exhibits non-standard growth conditions
A Weak solutions for some variational nonlinear elliptic systems with multiple perturbations: Nonlinear elliptic system
No full textThrough Young measure, we handle variational quasilinear elliptic systems in both the divergence and perturbed forms of type in , on . Galerkin's method is utilized to obtain weak solutions within the framework of Sobolev spaces
Existence Results for Quasilinear Degenerated Equations Via Strong Convergence of Truncations
Get PDFIn this paper we study the existence of solutions for quasilinear degenerated elliptic operators A(u) + g(x, u,ru) = f , where A is a Leray-Lions operator from W1,pIn this paper we study the existence of solutions for quasilinear degenerated elliptic operators A(u) + g (x, u, u) = f , where A is a Leray-Lions operator from W0 ,p (, w) into its dual, while g (x, s, ) is a nonlinear term which has 1 a growth condition with respect to and no growth with respect to s, but it satisfies a sign condition on s. The right hand side f is assumed to belong either to W -1,p (, w ) or to L1 ()
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