Multiple solutions for coupled gradient-type quasilinear elliptic systems with supercritical growth

DOI10.1007/s10231-022-01202-0zbMath1500.35141arXiv2210.07056OpenAlexW4225268754MaRDI QIDQ2082724

Caterina Sportelli, Anna Maria Candela

Publication date: 4 October 2022

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.07056

zbMATH Keywords

existencevariational methodscoupled gradient-type quasilinear elliptic system

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) 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 (1)

Bounded solutions for quasilinear modified Schrödinger equations

Cites Work

• Unnamed Item
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• Multiple solutions to a pure supercritical problem for the \(p\)-Laplacian
• On Coron's problem for the \(p\)-Laplacian
• Weak solutions of quasilinear elliptic systems via the cohomological index
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• On a class of critical \((p,q)\)-Laplacian problems
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• A global compactness result for the \(p\)-Laplacian involving critical nonlinearities
• Infinitely many solutions of some nonlinear variational equations
• Bifurcation and multiplicity results for nonlinear elliptic problems involving critical Sobolev exponents
• A note on the problem \(-\Delta u=\lambda u+u\,| u| ^{2^*-2}\)
• Some remarks on a system of quasilinear elliptic equations
• Soliton solutions for quasilinear Schrödinger equations. II.
• Global compactness for a class of quasi-linear elliptic problems
• Critical points for functionals with quasilinear singular Euler-Lagrange equations
• Existence and multiplicity results for a class of coupled quasilinear elliptic systems of gradient type
• An abstract critical point theorem with applications to elliptic problems with combined nonlinearities
• Nontrivial solutions for a class of gradient-type quasilinear elliptic systems
• Dual variational methods in critical point theory and applications
• Existence of radial bounded solutions for some quasilinear elliptic equations in \(\mathbb{R}^N\)
• Groundstate asymptotics for a class of singularly perturbed \(p\)-Laplacian problems in \({{\mathbb{R}}}^N\)
• Some abstract critical point theorems and applications
• Multiplicity results for some nonlinear elliptic problems with asymptotically \(p\)-linear terms
• On critical \(p\)-Laplacian systems
• On the pure critical exponent problem for the \(p\)-Laplacian
• Linear and quasilinear elliptic equations
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• Quasilinear elliptic equations involving critical Sobolev exponents
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
• Existence and multiplicity results for quasilinear elliptic differential systems
• Multiple solutions for some symmetric supercritical problems
• Variational Methods

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