On a new class of elliptic systems with nonlinearities of arbitrary growth

DOI10.1016/J.JDE.2010.05.001zbMath1200.35102OpenAlexW1980289815MaRDI QIDQ710521

Alexandru Kristály

Publication date: 19 October 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.05.001

zbMATH Keywords

elliptic systemsRicceri's variational principlenonlinearities of arbitrary growth

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Boundary value problems for second-order elliptic systems (35J57)

Related Items (5)

Existence of positive stationary solutions for a reaction-diffusion system ⋮ Existence and multiplicity of solutions for a class of superlinear elliptic systems ⋮ Infinitely many solutions for resonance elliptic systems ⋮ EXISTENCE AND MULTIPLICITY OF SOLUTIONS TO A CLASS OF NONCOOPERATIVE ELLIPTIC SYSTEMS WITH SUPERLINEAR NONLINEAR TERMS ⋮ Existence of solution for an indefinite weight quasilinear problem with variable exponent

Cites Work

• Perturbation from Dirichlet problem involving oscillating nonlinearities
• Multiple solutions for elliptic systems with nonlinearities of arbitrary growth
• Detection of arbitrarily many solutions for perturbed elliptic problems involving oscillatory terms
• Variational identities and applications to differential systems
• A general variational principle and some of its applications
• Elliptic systems with nonlinearities of arbitrary growth
• INFINITELY MANY SOLUTIONS OF THE NEUMANN PROBLEM FOR ELLIPTIC EQUATIONS INVOLVING THE p-LAPLACIAN
• A rellich type identity and applications
• On Superquadratic Elliptic Systems
• Strongly indefinite systems with critical Sobolev exponents
• Critical and subcritical elliptic systems in dimension two

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