Abstract
We consider a parametric Neumann problem driven by a nonhomogeneous differential operator, with a reaction consisting of a critical term plus a Carathéodory perturbation which is only locally restricted near zero and is not assumed to be odd. Combining variational methods, with upper-lower solutions and truncation techniques, and flow invariance arguments, we show that the problem admits infinitely many sign-changing solutions.
Award Identifier / Grant number: 2023A1515010603
Award Identifier / Grant number: 2020A1515110958
Funding statement: Supported by Guangdong Basic and Applied Basic Research Foundation (Nos. 2023A1515010603, 2020A1515110958).
References
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© 2023 Walter de Gruyter GmbH, Berlin/Boston
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Articles in the same Issue
- Frontmatter
- The second cohomology spaces of 𝒦(1) with coefficients in the superspace of weighted densities and deformations of the superspace of symbols on S 1|1
- On completely non-Baire unions in category bases
- Square-free values of n 2 + n + 1
- The stability and convergence analysis for singularly perturbed Sobolev problems with Robin type boundary condition
- Sign-changing solutions for parametric Neumann problems with broken symmetry and arbitrary growth
- The triharmonic equation on the Heisenberg group
- On Busemann–Feller extensions of translation invariant density differentiation bases
- Multiplicative bi-skew Jordan triple derivations on prime ∗-algebra
- Nonmeasurable products of absolutely negligible sets in uncountable solvable groups
- The double Fourier transform of non-Lebesgue integrable functions of bounded Hardy–Krause variation
- On the stochastic integral representation of Brownian functionals
- Generalized Bessel matrix functions
- Degenerate time-fractional diffusion equation with initial and initial-boundary conditions
- Some new characterizations of EP elements, partial isometries and strongly EP elements in rings with involution
- 𝐿𝑝(⋅) − 𝐿𝑞(⋅) estimates for convolution operators with singular measures supported on surfaces of half the ambient dimension
- Tilting pairs and Wakamatsu tilting subcategories over triangular matrix algebras