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| Volume 7, Number 3, December 2006, pp. 335-341 | ||||||||
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Giovanni Anello |
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| Key words: | ||||||||
| Elliptic boundary value problems, weak solutions, strong solutions, variational methods, multiplicity of solutions. | ||||||||
| Mathematices Subject Classification: 35J20, 35J25. | ||||||||
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| Abstract: | |||
| We present some results on the existence and multiplicity of solutions for boundary value problems involving equations of the type -Δpu = f(x, u) + λg(x, u), where Δp is the p-Laplacian operator (p > 1), λ is a real parameter and f, g : Ω × R → R, Ω ⊂ RN, are two Carathéodory functions. The approach is variational and mainly based on a critical point theorem by B. Ricceri. | |||
| Existence and multiplicity of solutions for nonlinear boundary value problems | ||