Search results for "Dirichlet conditions"

showing 2 items of 2 documents

Dirichlet Boundary Value Problem for the Second Order Asymptotically Linear System

2016

We consider the second order system x′′=f(x) with the Dirichlet boundary conditions x(0)=0=x(1), where the vector field f∈C1(Rn,Rn) is asymptotically linear and f(0)=0. We provide the existence and multiplicity results using the vector field rotation theory.

Article SubjectDirichlet conditionslcsh:MathematicsApplied Mathematics010102 general mathematicsMathematical analysisMixed boundary conditionDirichlet's energylcsh:QA1-93901 natural sciences010101 applied mathematicssymbols.namesakeDirichlet eigenvalueGeneralized Dirichlet distributionDirichlet's principleDirichlet boundary conditionsymbolsBoundary value problem0101 mathematicsAnalysisMathematicsInternational Journal of Differential Equations
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Gradient nonlinear elliptic systems driven by a (p,q)-laplacian operator

2017

In this paper, using variational methods and critical point theorems, we prove the existence of multiple weak solutions for a gradient nonlinear Dirichlet elliptic system driven by a (p, q)-Laplacian operator.

p-Laplacian critical pointNonlinear elliptic systemDirichlet conditions mul- tiple solutionvariational method
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