[PDF] Top 20 Existence of solutions for perturbed elliptic system with critical exponents
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Existence of solutions for perturbed elliptic system with critical exponents
... Oh, YG: Existence of semiclassical bound states of nonlinear Schrödinger equations with potentials of the class (V) 2.. Commun.[r] ... See full document
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Existence of positive solutions for a fractional elliptic problems with the Hardy-Sobolev-Maz’ya potential and critical nonlinearities
... the existence of positive solutions of problem (1) for s = 1 by using variational ...the existence of positive solutions for problem (1) by the variational methods and some analysis techniques ... See full document
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Positive symmetric results for a weighted quasilinear elliptic system with multiple critical exponents in \(\mathbb{R}^{N}\)
... singular critical elliptic systems like (.). Many existence and multiplicity results of positive solutions have been obtained with various assumptions; we would like to mention the papers by ... See full document
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On G-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in \(R^{N}\)
... 1, 2). By a variational minimax method combined with a delicate analysis of Palais–Smale sequences, the authors proved the existence of positive solutions to (1.4). Very recently, Nyamoradi and Hsu [19] ... See full document
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Existence result for semilinear elliptic systems involving critical exponents
... semilinear elliptic equations involv- ing singular points and the critical Sobolev exponent have ...the existence of positive solutions of systems of the form of ... See full document
14
Multiple positive solutions for semilinear elliptic systems involving subcritical nonlinearities in RN
... the elliptic systems with subcritical or critical exponents, and they proved the existence of a least energy positive solution or the existence of at least two positive solutions ... See full document
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Quasilinear elliptic equations with Hardy terms and Hardy-Sobolev critical exponents: nontrivial solutions
... the existence result is obtained via constructing a minimax level within this range and the mountain pass lemma due to Ambrosetti and Rabinowitz (see also ... See full document
11
Nonlinear boundary value problems of a class of elliptic equations involving critical variable exponents
... nonlinear elliptic boundary value problems appear when we study the conformal deformations on Riemannian manifolds with ...nonlinear elliptic boundary value problems with p-Laplacian has become an ... See full document
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On symmetric solutions of a critical semilinear elliptic system involving the Caffarelli Kohn Nirenberg inequality in \(\mathbb{R}^{N}\)
... the existence and multiplicity of G-symmetric solutions for ellip- tic systems, we only find some results for singular elliptic systems in [–] and when G = O( N ), several radial and nonradial ... See full document
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Symmetric solutions for singular quasilinear elliptic systems involving multiple critical Hardy-Sobolev exponents
... the existence of pos- itive solutions and some properties of solutions to ...gular elliptic systems like ...the existence and multiplicity of positive solutions were ... See full document
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EXISTENCE AND MULTIPLICITY OF WEAK SOLUTIONS FOR PERTURBED KIRCHHOFF TYPE ELLIPTIC PROBLEMS WITH HARDY POTENTIAL
... the existence of at least three weak solutions for a doubly eigenvalue elliptic systems involving the p-biharmonic equation with Hardy potential of Kirchhoff type with Navier boundary ...three ... See full document
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Existence and multiplicity of positive solutions to a perturbed singular elliptic system deriving from a strongly coupled critical potential
... semilinear elliptic systems have been studied extensively and many conclusions have been ...an elliptic system and some important conclusions had been ...the elliptic systems involving the ... See full document
14
Existence of solution for a singular elliptic equation with critical Sobolev Hardy exponents
... that (1.5) has a nontrivial solution under certain conditions for λ and µ. Moreover, Cao in [4, 5] and Chen in [6] also studied the semilinear elliptic equation (1.5). They show that (1.5) has nontrivial ... See full document
11
Multiplicity result for a critical elliptic system with concave-convex nonlinearities
... the existence of multiple solutions of a strongly indefinite elliptic system involving the critical Sobolev exponent and concave-convex ...the existence of infinitely many small ... See full document
10
Existence of nontrivial solutions for perturbed p-Laplacian system involving critical nonlinearity and magnetic fields
... There are also many works dealing with the magnetic fields A(x) = and p = for the scalar case corresponding to (.). In [], the authors firstly obtained the existence of standing waves for special classes of ... See full document
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Existence of nontrivial solutions to perturbed p-Laplacian system in ℝ N involving critical nonlinearity
... lue of the p-Laplacian. In [12], Alves and Ding studied the same problem of [11] and obtained the multiplicity of positive solutions in bounded domain Ω ⊂ ℝ N . Moreover, Liu and Zheng [13] investigated (1.2) in ℝ ... See full document
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Multiple positive solutions for a class of quasi-linear elliptic equations involving concave-convex nonlinearities and Hardy terms
... Such kind of problem with critical exponents and nonnegative weight functions has been extensively studied by many authors. We refer, e.g., in bounded domains and for p = 2 to [4-6] and for p >1 to ... See full document
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Positivity of the infimum eigenvalue for equations of p(x)-Laplace type in RN
... Smooth functions are not dense in the variable exponent Sobolev spaces, without addi- tional assumptions on the exponent p(x). Zhikov [] gave some examples of Lavrentiev’s phenomenon for the problems with variable ... See full document
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Existence and uniqueness of bounded weak solutions for some nonlinear parabolic problems
... In this paper we study a class of nonlinear parabolic problems with p(x,t) growth conditions. We prove the existence and uniqueness of bounded solutions to such a problem, with less constraint to p(x,t). ... See full document
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Existence of solutions for a family of polyharmonic and biharmonic equations
... Remark 1.5. These approaches do not work for general higher-order elliptic equations with zero Dirichlet boundary conditions. Not only no maximum principle on general domains exists, but also the restriction to a ... See full document
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