Anisotropic (p, q)-equations with superlinear reaction

Nonhomogeneous Nonlinear Dirichlet Problems with a p-Superlinear Reaction

and Applied Analysis 3 2. Mathematical Background and Hypotheses Let X be a Banach space, and let X∗ be its topological dual. By 〈·, ·〉 we denote the duality brackets for the pair X∗, X . Let φ ∈ C1 X . We say that φ satisfies the Cerami condition if the following is true: “every sequence {xn}n≥1 ⊆ X, such that {φ xn }n≥1 is bounded and 1 ‖xn‖ φ′ xn −→ 0 in X∗, 2.1 admits a strongly convergent ...

Partial Regularity under Anisotropic (p,q) Growth Conditions

Admissible initial growth for diffusion equations with weakly superlinear absorption

Multiple Solutions of Superlinear Equations 99 2

— We give some multiplicity results on existence of nontrivial solutions for superlinear elliptic equations with a saddle structure near 0. We make use of a combination of bifurcation theory and minimax methods.

Asymptotic behavior for retarded parabolic equations with superlinear perturbations

We obtain the existence and uniqueness of solutions for a class of retarded parabolic equations with superlinear perturbations. The asymptotic behavior result is studied by using the pullback attractor framework.