A note on a dirichlet problem with concave-convex nonlinearity

DOI10.2478/s12175-010-0017-7zbMath1265.35074OpenAlexW2070563369MaRDI QIDQ3161456

Marek Galewski

Publication date: 14 October 2010

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s12175-010-0017-7

zbMATH Keywords

dualityEuler-Lagrange equationdual variational methodexistence resultelliptic BVP

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Cites Work

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• A global multiplicity result for \(N\)-Laplacian with critical nonlinearity of concave-convex type
• Critical point theory and Hamiltonian systems
• On the Dirichlet problem for the equation \(-\Delta u-g(x,u)+\lambda f(x,u)\) with no growth conditions on \(f\)
• Existence, stability and approximation of solutions for a certain class of nonlinear BVPs
• On the existence and stability of higher order Dirichlet problems
• Some existence results for a class of nonlinear equations involving a duality mapping
• On the new variational principles and duality for periodic solutions of Lagrange equations with superlinear nonlinearities

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