Multiplicity of Positive Solutions to the Boundary-Value Problems for Fractional Laplacians
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DOI: 10.1007/s10958-018-4124-2
Abstract: For the problem (−Δ)su=uq−1 in the annulus ΩR = BR+1 \ BR ∈ ℝn, a so-called “multiplicity effect” is established: for each N ∈ ℕ there exists R0 such that for all R ≥ R0… read more here.
Keywords: multiplicity; solutions boundary; positive solutions; boundary value ... See more keywords
Existence and multiplicity of positive solutions to quasilinear elliptic equations with two parameters
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DOI: 10.1007/s13370-016-0444-x
Abstract: In this paper, we are concerned with quasilinear elliptic equations with a Dirichlet boundary condition and two parameters. Using the truncation techniques and variational methods, the existence and/or multiplicity of positive solutions to the problems… read more here.
Keywords: existence multiplicity; positive solutions; elliptic equations; two parameters ... See more keywords
Multiplicity of positive solutions for a fractional p&q-Laplacian problem inRN
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DOI: 10.1016/j.jmaa.2020.124487
Abstract: Abstract In this paper we deal with the following fractional p&q-Laplacian problem: { ( − Δ ) p s u + ( − Δ ) q s u + V ( e x ) (… read more here.
Keywords: fractional laplacian; solutions fractional; positive solutions; problem ... See more keywords
Existence and multiplicity of positive solutions for a class of Kirchhoff Laplacian type problems
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DOI: 10.1063/1.5082847
Abstract: This paper deals with the existence and multiplicity of positive solutions for a class of Kirchhoff Laplacian type problems in whole R3. The multiplicity of solutions is established by variational methods and Ljusternik-Schnirelmann theory. read more here.
Keywords: multiplicity; existence multiplicity; class kirchhoff; solutions class ... See more keywords
Existence and Multiplicity of Positive Solutions for Kirchhoff-Type Equations with the Critical Sobolev Exponent
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DOI: 10.1155/2020/3965721
Abstract: which was proposed by Kirchhoff in [6]. In fact, (3) is an extension and generalization of the classical D’Alembert wave equation in some ways. .is model is widely used in many fields, such as non-Newtonian… read more here.
Keywords: multiplicity positive; existence multiplicity; positive solutions; type equations ... See more keywords
On the existence and multiplicity of positive solutions for a p-Laplacian fractional boundary value problem with an integral boundary condition
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DOI: 10.2298/fil2301235a
Abstract: Aim of this work is to investigate existence and multiplicity of positive solutions of a fractional boundary value problem with an integral boundary condition with p-Laplacian operator. Necessary and sufficient conditions are presented to obtain… read more here.
Keywords: existence multiplicity; multiplicity positive; multiplicity; fractional boundary ... See more keywords
Multiplicity of Positive Solutions to Nonlocal Boundary Value Problems with Strong Singularity
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DOI: 10.3390/axioms11010007
Abstract: In this paper, we consider generalized Laplacian problems with nonlocal boundary conditions and a singular weight, which may not be integrable. The existence of two positive solutions to the given problem for parameter λ belonging… read more here.
Keywords: boundary value; value problems; multiplicity positive; solutions nonlocal ... See more keywords