Abstract
In this paper, we study the multiplicity of weak solutions to the boundary value problem
where Ω is a bounded domain with smooth boundary in
By using the variant of Rabinowitz’s perturbation method, under some growth conditions on f and g, we show that there are infinitely many weak solutions to the problem.
Funding statement: This research is funded by The International Center for Research and Postgraduate Training in Mathematics, Institute of Mathematics, Vietnam Academy of Science and Technology under the Grant ICRTM04-2021.03.
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Articles in the same Issue
- Frontmatter
- On the Hölder continuity of ring Q-homeomorphisms
- New regularity results for the heat equation and application to non-homogeneous Burgers equation
- Maximum inequalities in rearrangements of orthogonal series
- A parallel type decomposition scheme for quasi-linear abstract hyperbolic equation
- Reversible ring property via idempotent elements
- Infinitely many solutions for perturbed Λγ-Laplace equations
- On an alternative approach for mixed boundary value problems for the Laplace equation
- Split monotone variational inclusion problem involving Cayley operators
- Duals and approximate duals of von Neumann–Schatten p-frames
- Properties of general Fourier coefficients of differentiable functions
- On linear spline algorithms of computerized tomography in the space of n-orbits
- Barbashin type characterizations for the uniform polynomial stability and instability of evolution families