Dirichlet Problems with Unbalanced Growth and Convection

Dirichlet Problems with Singular Convection Terms and Applications to Some Elliptic Systems

To be more precise, in [2] is proved the existence of u { weak solution belonging to W 1,2 0 (Ω) ∩ L ∗∗ (Ω), if m ≥ 2N N+2 (“Stampacchia” theory); distributional solution belonging to W 1,m ∗ 0 (Ω), if 1 < m < 2N N+2 (“Calderon-Zygmund” theory); (5) where m∗ = mN N−m (1 ≤ m < N) and m ∗∗ = mN N−2m (1 ≤ m < N 2 ). Note that the above existence results are exactly the results proved with E = 0 in...

Dirichlet Problems with Asymmetric Nonlinearities

Unbalanced Growth

We study a model designed to understand the concept of unbalanced growth. We define leading sectors to be those that raise the profits from industrialization for other sectors the most. We identify the leading sectors and show that subsidizing them in sequence will raise welfare if the future is not discounted too strongly. Croissance non balanc&e. On &tudie un modele construit pour comprendre ...

Solving Unbalanced Transportation Problems with Budgetary Constraints

A new method namely, interval-point method without using fuzzy set theory is proposed for finding an optimal solution for unbalanced transportation problems with budgetary constraints where demand and budget are imprecise. With the help of numerical example, the proposed method is illustrated. The proposed method enables the decision makers to choose the optimal distribution according to their ...

Perturbed Subcritical Dirichlet Problems with Variable Exponents

We study a class of nonhomogeneous elliptic problems with Dirichlet boundary condition and involving the p(x)-Laplace operator and powertype nonlinear terms with variable exponent. The main results of this articles establish sufficient conditions for the existence of nontrivial weak solutions, in relationship with the values of certain real parameters. The proofs combine the Ekeland variational...