Infinitely many nonradial solutions to a superlinear Dirichlet problem

Infinitely Many Radially Symmetric Solutions to a Superlinear Dirichlet Problem in a Ball

In this paper we show that a radially symmetric superlinear Dirichlet problem in a ball has infinitely many solutions. This result is obtained even in cases of rapidly growing nonlinearities, that is, when the growth of the nonlinearity surpasses the critical exponent of the Sobolev embedding theorem. Our methods rely on the energy analysis and the phase-plane angle analysis of the solutions fo...

Infinitely Many Solutions of Superlinear Elliptic Equation

and Applied Analysis 3 Lemma 6 (see [17]). Assume that |Ω| < ∞, 1 ≤ p, r ≤ ∞, f ∈ C(Ω×R), and |f(x, u)| ≤ c(1+|u|). Then for every

Infinitely Many Large Energy Solutions of Superlinear Schrödinger-maxwell Equations

In this article we study the existence of infinitely many large energy solutions for the superlinear Schrödinger-Maxwell equations −∆u+ V (x)u+ φu = f(x, u) in R, −∆φ = u, in R, via the Fountain Theorem in critical point theory. In particular, we do not use the classical Ambrosetti-Rabinowitz condition.

Existence of Infinitely Many Nodal Solutions for a Superlinear Neumann Boundary Value Problem

Infinitely Many Radial Solutions for a Sub-Super Critical Dirichlet Boundary Value Problem in a Ball

We prove the existence of infinitely many solutions to a semilinear Dirichlet boundary value problem in a ball for a nonlinearity g(u) that grows subcritically for u positive and supercritically for u negative.