Positive Solutions for Elliptic Problems Involving Hardy–Sobolev–Maz’ya Terms
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DOI: 10.1007/s40840-018-0603-3
Abstract: In the present paper, we study the semilinear elliptic problem $$\displaystyle -\Delta u -\mu \frac{u}{|y|^{2}}=\frac{|u|^{2^{*}(s)-2}u}{|y|^{s}}+ f(x,u)$$-Δu-μu|y|2=|u|2∗(s)-2u|y|s+f(x,u) in bounded domain. Replacing the Ambrosetti–Rabinowitz condition by general superquadratic assumptions and the nonquadratic assumption, we establish the existence… read more here.
Keywords: problems involving; positive solutions; elliptic problems; hardy sobolev ... See more keywords
Γ-limits of singular perturbation problems involving energies with non-local terms
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DOI: 10.1016/j.jmaa.2018.01.078
Abstract: Abstract We introduce a new method to reformulate certain classes of problems involving non-local terms as local problems. This allows us to apply the techniques developed in [24] , [25] to prove upper and lower… read more here.
Keywords: limits singular; non local; perturbation problems; singular perturbation ... See more keywords
Existence results for a class of nonlocal problems involving the -Laplace operator
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DOI: 10.1080/17476933.2017.1282950
Abstract: Abstract This paper is concerned with the existence of solutions to a class of -Kirchhoff-type equations with Dirichlet boundary condition of the form: By means of variational methods and the theory of the variable exponent… read more here.
Keywords: results class; class; class nonlocal; problems involving ... See more keywords
Existence of Positive Solutions to Singular Boundary Value Problems Involving φ-Laplacian
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DOI: 10.3390/math7070654
Abstract: This paper is concerned with the existence of positive solutions to singular Dirichlet boundary value problems involving φ -Laplacian. For non-negative nonlinearity f = f ( t , s ) satisfying f ( t ,… read more here.
Keywords: problems involving; positive solutions; boundary value; existence positive ... See more keywords