Existence and multiplicity of normalized solutions for a class of Schrödinger‐Poisson equations with general nonlinearities
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DOI: 10.1002/mma.6140
Abstract: In this paper, we study the existence and multiplicity of standing waves with prescribed L2 ‐norm Schrödinger‐Poisson equations with general nonlinearities in R3 : i∂tψ+Δψ−κ(|x|−1*|φ|2)ψ+f(ψ)=0, where κ>0 and f is superlinear and satisfies the monotonicity… read more here.
Keywords: dinger poisson; schr dinger; existence multiplicity; equations general ... See more keywords
Existence and Multiplicity of Solutions for Fractional Elliptic Problems with Discontinuous Nonlinearities
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DOI: 10.1007/s00009-018-1188-7
Abstract: We consider the following fractional elliptic problem: $$\begin{aligned} (P)\left\{ \begin{array}{ll} (-\Delta )^s u = f(u) H(u-\mu )&{} \quad \text{ in } \ \Omega ,\\ u =0 &{}\quad \text{ on } \ \mathbb{{R}}^n {\setminus } \Omega… read more here.
Keywords: multiplicity solutions; existence multiplicity; solutions fractional; fractional elliptic ... See more keywords
Existence and Multiplicity Results for an Elliptic Problem Involving Cylindrical Weights and a Homogeneous Term $$\mu $$μ
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DOI: 10.1007/s00009-019-1317-y
Abstract: We consider the following elliptic problem $$\begin{aligned} \left\{ \begin{array}{lll} -{\text {div}}\left( \dfrac{\left| \nabla u\right| ^{p-2} \nabla u}{\left| y\right| ^{ap}}\right) = \mu \dfrac{\left| u\right| ^{p-2} u}{\left| y\right| ^{p(a+1)}}+ h(x) \dfrac{\left| u\right| ^{q-2} u}{\left| y\right| ^{bq}} +… read more here.
Keywords: left right; dfrac left; elliptic problem; problem ... 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
Existence and Multiplicity Results for Steklov Problems with p(.)-Growth Conditions
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DOI: 10.1007/s41980-018-0054-5
Abstract: Using variational methods, we prove in different situations the existence and multiplicity of solutions for the following Steklov problem: $$\begin{aligned} -\text{ div }(a(x, \nabla u))+|u|^{p(x)-2}u= & {} 0, \quad \text {in }\Omega , \\ a(x,… read more here.
Keywords: existence multiplicity; multiplicity results; partial omega; mapsto mathbb ... See more keywords
Existence and multiplicity results for a semilinear elliptic problem
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DOI: 10.1016/j.jmaa.2019.03.028
Abstract: Abstract In this paper we establish sufficient conditions for an asymptotically linear elliptic boundary value problem to have at least five solutions when the range of the derivative of the nonlinearity includes at least the… read more here.
Keywords: results semilinear; elliptic problem; problem; semilinear elliptic ... See more keywords
Existence and multiplicity of solutions for Dirichlet problem of p(x)-Laplacian type without the Ambrosetti-Rabinowitz condition
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DOI: 10.1016/j.jmaa.2020.123882
Abstract: Abstract This paper deals with the following variational problem with variable exponents { − div ( ( 1 + | ∇ u | p ( x ) 1 + | ∇ u | 2 p… read more here.
Keywords: multiplicity solutions; existence multiplicity; ambrosetti rabinowitz; condition ... 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 fractional Laplacian systems with nonlinear coupling
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DOI: 10.1063/1.5087755
Abstract: It is well known that a single nonlinear fractional Schr\"odinger equation with a potential $V(x)$ and a small parameter $\varepsilon $ may have a positive solution that is concentrated at the nondegenerate minimum point of… read more here.
Keywords: existence multiplicity; positive solutions; minimum point; fractional laplacian ... See more keywords
Existence and multiplicity of solutions for Kirchhoff-type potential systems with variable critical growth exponent
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DOI: 10.1080/00036811.2021.1979223
Abstract: In this paper, by using the concentration-compactness principle of Lions for variable exponents found in [Bonder JF, Silva A. Concentration-compactness principal for variable exponent space and app... read more here.
Keywords: multiplicity solutions; existence multiplicity; type potential; solutions kirchhoff ... 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