Existence and multiplicity of solutions for a nonhomogeneous Neumann boundary problem

• Autorzy: Klimczak L.

Identyfikatory

DOI

http://dx.doi.Org/10.7494/OpMath.2015.35.6.889

• Języki publikacji: EN

Abstrakty

EN

We consider a nonlinear Neumann elliptic equation driven by a p-Laplacian-type operator which is not homogeneous in general. For such an equation the energy functional does not need to be coercive, and we use suitable variational methods to show that the problem has at least two distinct, nontrivial smooth solutions. Our formulation incorporates strongly resonant equations.

Słowa kluczowe

EN

Palais-Smale condition; noncoercive functional; second deformation theorem

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2015
• Tom: Vol. 35, no. 6
• Strony: 889--905
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Klimczak L.

• Jagiellonian University Faculty of Mathematics and Computer Science ul. Łojasiewicza 6, 30-348 Krakow, Poland

Bibliografia

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