© World Scientific Publishing Company. Let f be an even integral weight, normalized, cuspidal Hecke eigenform over SL2(Z) with Fourier coefficients a(n). Let j be a positive integer. We prove that for almost all primes σ ...

This work focuses on the study of signs given to humans by domestic and wild vertebrates. These signs are interpreted culturally by settlers who live on the Central Patagonian Plateau and are taken into account in making ...

Let Ω ⊂ R n be a smooth bounded domain and m∈ C(Ω ¯) be a sign-changing weight function. For 1 < p< ∞, consider the eigenvalue problem {-Δpu=λm(x)|u|p-2uinΩ,u=0on∂Ω,where Δ p u is the usual p-Laplacian. Our purpose in this ...

Via variational methods, we study multiplicity of solutions for the problem {-Delta u = lambda b(x)vertical bar u vertical bar(q-2)u + au + g(x, u) in Omega, u - 0 on partial derivative Omega, where a simple example for ...

We consider the problem

We consider the problem Delta u + \u\(4/n-2) u = 0 in Omega(epsilon), u = 0 on partial derivative Omega(epsilon), where Omega(epsilon) := Omega \ B (0, epsilon) and Omega is a bounded smooth domain in R(N), which contains ...

We consider the following nonlocal equation: