Nontrivial solutions for a class of gradient-type quasilinear elliptic systems
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Publication:2171969
DOI10.12775/TMNA.2021.047zbMath1498.35246arXiv2203.05184MaRDI QIDQ2171969
Caterina Sportelli, Anna Maria Candela
Publication date: 14 September 2022
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.05184
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Boundary value problems for second-order elliptic systems (35J57)
Related Items
Existence of minimizers for a quasilinear elliptic system of gradient type, Multiple solutions for coupled gradient-type quasilinear elliptic systems with supercritical growth
Cites Work
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- Weak solutions of quasilinear elliptic systems via the cohomological index
- Non-variational elliptic systems in dimension two: a priori bounds and existence of positive solutions
- Infinitely many solutions of some nonlinear variational equations
- Functional analysis, Sobolev spaces and partial differential equations
- Some remarks on a system of quasilinear elliptic equations
- Unbounded critical points for a class of lower semicontinuous functionals
- Existence and multiplicity results for a class of coupled quasilinear elliptic systems of gradient type
- Dual variational methods in critical point theory and applications
- Some abstract critical point theorems and applications
- Multiplicity results for some nonlinear elliptic problems with asymptotically \(p\)-linear terms
- Existence results for nonlinear elliptic equations with Leray-Lions operator and dependence on the gradient
- Linear and quasilinear elliptic equations
- On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
- Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
- Existence and multiplicity results for quasilinear elliptic differential systems
- Multiple solutions for some symmetric supercritical problems
- Multiple Solutions of Some Nonlinear Variational Problems
- Nonlinear elliptic systems
