[PDF] Top 20 Eigenvalue problems for a quasilinear elliptic equation on ℝN
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Eigenvalue problems for a quasilinear elliptic equation on ℝN
... setting of problem (1.1)-(1.2), and give some equivalent norm results to be used later. A generalized version of Poincar´e’s inequality plays a crucial role. Some of the ideas devel- oped in this section appear also in a ... See full document
12
High energy solutions of modified quasilinear fourth-order elliptic equation
... Kirchhoff-type problems, we refer the reader to [1, 5–8] and the references ...fourth-order elliptic equation has been widely studied since Lazer and Mckenna [9] first proposed to study periodic ... See full document
13
Existence of solutions for a class of degenerate quasilinear elliptic equation in RN with vanishing potentials
... In this case, the equations arise in problems of existence of stationary waves for anisotropic Schrödinger equation (see []) and others problems (for example, see [, ]). We cite [] for p = ; ... See full document
16
Existence and multiplicity of solutions for equations involving nonhomogeneous operators of p(x)-Laplace type in RN
... p-Laplacian problems because the function (x, t) = t p is not uniformly convex for t > ...of quasilinear elliptic problems involving the p(x)-Laplace type operator with nonlinear boundary ... See full document
17
Two positive solutions for quasilinear elliptic equations with singularity and critical exponents
... the elliptic boundary value problems with critical exponents and sin- gular potentials have been extensively studied [2, 6, 7, 10–23, 25, 26, 28, ...following quasilinear elliptic problem with ... See full document
19
Positive symmetric solutions for a class of critical quasilinear elliptic problems in RN
... (.), the critical quasilinear equation (.) becomes more complicated to deal with and we have to overcome more difficulties in the study of G-symmetric solutions. As far as we know, there are few results ... See full document
18
Regularity of weak solutions to obstacle problems for nondiagonal quasilinear degenerate elliptic systems
... In the classical Euclidean setting, the interior regularity for solutions of elliptic equations and systems has been extensively investigated. Campanato in [2] and [3] obtained gradient estimates for solutions to ... See full document
16
Eigenvalue problems for degenerate nonlinear elliptic equations in anisotropic media
... We first state a minimax-type lemma which will be used in the sequel. A version of this result under the Palais-Smale condition has been given in [20]. Applications to different classes of variational bifurcation ... See full document
21
Sequential and continuum bifurcations in degenerate elliptic equations
... We apply our results to non-monotone eigenvalue problems, degenerate semi-linear elliptic equations, boundary value differential-algebraic equations and fully non-linear elliptic equatio[r] ... See full document
11
On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations
... The existence and nonexistence of entire solutions, existence of multiple positive entire solutions of (1.1) for f (x,u, ∇ u) = q(x) f (u) or f (x,u, ∇ u) = − f (x, u), have been studied in previous papers (see [22, 24, ... See full document
19
Multiplicity of solutions for singular semilinear elliptic equations in weighted Sobolev spaces
... of eigenvalue problems of singular quasilinear el- liptic and parabolic equations in weighted Sobolev spaces, he obtained many existence results by using Galerkin ...the quasilinear el- liptic ... See full document
14
Some results on the eigenvalue problem for a fractional elliptic equation
... physical problems when considering fractional kinetics and anomalous transport, strange kinetics, and Lévy processes in quantum mechanics; one can see [1–3] and the references ... See full document
11
Eigenvalue Problems and Bifurcation of Nonhomogeneous Semilinear Elliptic Equations in Exterior Strip Domains
... [17] P.-L. Lions, “On positive solutions of semilinear elliptic equations in unbounded domains,” in Nonlinear Diffusion Equations and Their Equilibrium States, II (Berkeley, CA, 1986), W.-M. Ni, L. A. Peletier, and ... See full document
25
Existence results for a class of nonlocal problems involving p-Laplacian
... 1. Lions, JL: On some equations in boundary value problems of mathematical physics. In Contemporary developments in Continuum Mechanics and Partial Differential equations (Proc. Internat. Sympos., Inst. Mat., ... See full document
8
Boundary regularity of weak solutions to nonlinear elliptic obstacle problems
... Choe, A regularity theory for a general class of quasilinear elliptic partial di ff erential equations and obstacle problems, Archive for Rational Mechanics and Analysis 114 (1991), no.. [r] ... See full document
15
Multiple positive solutions for quasilinear elliptic problems with combined critical Sobolev–Hardy terms
... Concerning problems with multiple nonlinearities, there has been little research up to ...the elliptic problem with combined critical Sobolev–Hardy terms on smooth bounded domain and obtained some existence ... See full document
19
Existence and multiplicity of solutions for a p-Kirchhoff equation on \({\mathbb {R}}^{N}\)
... Since the pioneering work of Lions [1], much attention has been paid to the existence of nontrivial solutions, multiplicity of solutions, ground state solutions, sign-changing so- lutions, and concentration of solutions ... See full document
12
Fast Numerical Methods for Mixed, Singular Helmholtz Boundary Value Problems and Laplace Eigenvalue Problems with Applications to Antenna Design, Sloshing, Electromagnetic Scattering and Spectral Geometry
... elasticity equation. This method, which applies to a variety of singular problems, is described in detail with examples in [65], and it has been implemented in a numerical MATLAB package which is freely ... See full document
152
Eigenvalue comparisons for boundary value problems of the discrete beam equation
... arises in the study of elasticity and has definite physical meanings. Equation (1.1) is often referred to as the beam equation. It describes the deflection of a beam under a certain force. The boundary ... See full document
9
The integral equation methods for the perturbed Helmholtz eigenvalue problems
... solving eigenvalue problems under shape de- formation relates to the continuation of multiple eigenvalues of the unperturbed config- ...integral equation method in the evaluation of eigenfunctions ... See full document
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