Semilinear elliptic problems with asymmetric nonlinearities

Semilinear Elliptic Equations with Generalized Cubic Nonlinearities

A semilinear elliptic equation with generalized cubic nonlinearity is studied. Global bifurcation diagrams and the existence of multiple solutions are obtained and in certain cases, exact multiplicity is proved.

Dirichlet Problems with Asymmetric Nonlinearities

Oscillation Theory for Semilinear Elliptic Equations with Arbitrary Nonlinearities

Semilinear Elliptic Systems With Exponential Nonlinearities in Two Dimensions ∗

We establish a priori bounds for positive solutions of semilinear elliptic systems of the form 8><>>>: −∆u = g(x, v) , in Ω −∆v = f(x, u) , in Ω u > 0 , v > 0 in Ω

Semilinear Volterra Integrodifferential Problems with Fractional Derivatives in the Nonlinearities

and Applied Analysis 3 is called the Riemann-Liouville fractional integral of h of order α > 0 when the right side exists. Here Γ is the usual Gamma function