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Infinitely many solutions of a second-order p -Laplacian problem with impulsive condition

Libo Wang, Weigao Ge, Minghe Pei (2010)

Applications of Mathematics

Using the critical point theory and the method of lower and upper solutions, we present a new approach to obtain the existence of solutions to a p -Laplacian impulsive problem. As applications, we get unbounded sequences of solutions and sequences of arbitrarily small positive solutions of the p -Laplacian impulsive problem.

Infinitely many weak solutions for a non-homogeneous Neumann problem in Orlicz--Sobolev spaces

Ghasem A. Afrouzi, Shaeid Shokooh, Nguyen T. Chung (2019)

Commentationes Mathematicae Universitatis Carolinae

Under a suitable oscillatory behavior either at infinity or at zero of the nonlinear term, the existence of infinitely many weak solutions for a non-homogeneous Neumann problem, in an appropriate Orlicz--Sobolev setting, is proved. The technical approach is based on variational methods.

Instantons

Corrigan, E., Goddard, P. (1980)

Abstracta. 8th Winter School on Abstract Analysis

Integrable systems and group actions

Eva Miranda (2014)

Open Mathematics

The main purpose of this paper is to present in a unified approach to different results concerning group actions and integrable systems in symplectic, Poisson and contact manifolds. Rigidity problems for integrable systems in these manifolds will be explored from this perspective.

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