Search results for "Type condition"

showing 2 items of 2 documents

Pointwise characterizations of Hardy-Sobolev functions

2006

We establish simple pointwise characterizations of functions in the Hardy-Sobolev spaces within the range n/(n+1)<p <=1. In addition, classical Hardy inequalities are extended to the case p <= 1.

PointwiseMathematics::Functional Analysis42B30 (Primary) 26D15General Mathematics42B25 (Secondary)010102 general mathematicsMathematical analysisMathematics::Classical Analysis and ODEsMathematics::Analysis of PDEs01 natural sciencesFunctional Analysis (math.FA)Mathematics - Functional Analysis010101 applied mathematicsSobolev spaceCombinatoricsNull setType conditionMathematics - Classical Analysis and ODEsClassical Analysis and ODEs (math.CA)FOS: Mathematics46E35Locally integrable function0101 mathematics46E35; 42B30 (Primary) 26D15; 42B25 (Secondary)Mathematics
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Landesman-Lazer type (p, q)-equations with Neumann condition

2020

We consider a Neumann problem driven by the (p, q)-Laplacian under the Landesman-Lazer type condition. Using the classical saddle point theorem and other classical results of the calculus of variations, we show that the problem has at least one nontrivial weak solution.

Pure mathematicsGeneral MathematicsWeak solution010102 general mathematicsNeumann problemcritical pointsaddle point theoremGeneral Physics and AstronomyType (model theory)01 natural sciences(pq)-LaplacianSaddle point theorem010101 applied mathematicsType conditionSettore MAT/05 - Analisi MatematicaNeumann boundary condition0101 mathematicsLandesman-Lazer type conditionMathematicsActa Mathematica Scientia
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